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two tangents are drawn from an external point p to the circle if one of the six and then find the other side of the tangent

Posted by Shivam Dixit 5 years, 1 month ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

2.On comparing the ratios 111222,andabcabc, find out whether the lines representing thefollowing pairs of linear equations intersect at a point, are parallel or coincident:(i)5x – 4y + 8 = 0(ii)9x + 3y + 12 = 07x + 6y – 9 = 018x + 6y + 24 = 0(iii)6x – 3y + 10 = 02x – y + 9 = 0

Posted by Rishabh Pawar 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 1 month ago

On comparing the ratios a1/a2 , b1/b2 and c1/c2, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident:
Use this table for the solution

S.N.	Compare the Ratio	Graphic representation	Algebraic interpretation	Linear equations
1		Intersection lines at one point	Exactly one solution or unique solution	Consistent
2		Coincident line	Infinity solution or many solutions	Dependent and consistent
3		Parallel lines	No solution	Inconsistent

Solution: (i)

5x – 4y + 8 = 0

7x + 6y – 9         = 0
Compare the equation with

We get
a1 = 5,            b1       = -4,               and c1 = 8
a2 =7              b2       =6                    and c2 = -9

Hence

So both are Intersecting lines at one point
(ii)9x + 3y + 12            = 0
18x + 6y + 24           = 0
Compare the equation with

We get
a1 = 9,           b1       = 3,                 and c1 = 12
a2 =18          b2        =6,                   and c2 = 24

Hence

So both lines are coincident

(iii)6x – 3y + 10       = 0
2x – y + 9            = 0
Compare the equation with

We get
a1 = 6,            b1       =- 3,               and c1 = 10
a2 =2              b2        =-1,                 and c2 = 9

Hence

So both lines are parallel

ANSWER

Without actual division, show that rational number 17/625 is a terminating decimal. Express in decimal form.

Posted by Akash K 5 years, 1 month ago

CBSE > Class 10 > Mathematics

3 answers

Sakshi Jagtap 3 years, 6 months ago

ANSWER:- 17/625 = 17/5⁴.... So, 17/625 is terminating

Akash K 5 years, 1 month ago

How to express in decimal form without actual division

Yogita Ingle 5 years, 1 month ago

1) A rational number is terminating if and only if the denominator of the rational number is of the form 2ᵃ or 5ᵇ or 2ᵃ.5ᵇ

2) In the given fraction 17/625

17/625 can be written as 17/(5×5×5×5)
17/5⁴

As the denominator has 5⁴ so the term is terminating.

ANSWER

Prove √2 is irrational.

Posted by Akash K 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 1 month ago

Let us assume √2 is rational number.
a rational number can be written into he form of p/q
√2=p/q
p=√2q
Squaring on both sides
p²=2q²__________(1)
.·.2 divides p² then 2 also divides p
.·.p is an even number
Let p=2a (definition of even number,'a' is positive integer)
Put p=2a in eq (1)
p²=2q²
(2a)²=2q²
4a²=2q²
q²=2a²
.·.2 divides q² then 2 also divides q
Both p and q have 2 as common factor.
But this contradicts the fact that p and q are co primes or integers.
Our supposition is false
.·.√2 is an irrational number.

ANSWER

Sum of first n even natural numbers=n(n+1)

Posted by Rishabh Pawar 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Khushi Singh 5 years, 1 month ago

AP: ,2,4,6.... To n term a=2,d=2,n=n,sn=n(n+1) Sn=n÷2[2a+(n-1)d] n(n+1)=n÷2[2×2+2n-2] n(2n+2)=n(2n+2) Both sides are same. So, his answer is 0

ANSWER

Prove that √3+√5 is irrational in two methods

Posted by Akash K 5 years, 1 month ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Sum of cubes of first n natural numbers=(n(n+1)/2)^2

Posted by Rishabh Pawar 5 years, 1 month ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Sum of cubes of first n natural numbers=(n(n+1)/2)^2

Posted by Rishabh Pawar 5 years, 1 month ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Sum of squares of first n natural numbers=n(n+1)(2n+1)/6

Posted by Rishabh Pawar 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 1 month ago

To find the sum of squares, we use the formula of (n+1)³ as shown in the picture.

In the proof, I have used one result directly:

1 + 2 + 3 + ... + n = n(n+1)/2

Proof:
Given series is an A.P. with
First term = 1
Last term = n
Number of terms = n

Sum = n/2 [First term + Last Term]
So, Sum = n/2 [1 + n]
So, Sum = n(n+1)/2

That is, 1 + 2 + 3 + ... + n = n(n+1)/2

ANSWER

What are the properties of logarithms.

Posted by Akash K 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 1 month ago

There are four basic rules of logarithms as given below:-

Log_b (mn)= log_b m + log_b n. In this rule, the multiplication of two logarithmic values is equal to the addition of their individual logarithms.

For example- log₃( 2y ) = log₃(2) + log₃(y)

Log_b (m/n)= log_b m – log_b This is called as division rule. Here the division of two logarithmic values is equal to the difference of each logarithm.

For example, log₃( 2/ y ) = log₃(2) -log₃(y)

Log_b (mⁿ) = n log_b ^m

This is the exponential rule of logarithms. The logarithm of m with a rational exponent is equal to the exponent times its logarithm.

Log_bm = log_am/ log_a b

ANSWER

What is the deleted portion of maths?

Posted by Rani Kumari 5 years, 1 month ago

CBSE > Class 10 > Mathematics

5 answers

Atul Kumar 5 years, 1 month ago

CHAPTER TOPICS REMOVED ?UNIT I-NUMBER SYSTEMS 〰️ ?REAL NUMBERS ➡️? Euclid’s division lemma ?UNIT II-ALGEBRA 〰️ ?POLYNOMIALS ➡️?Statement and simple problems on division algorithm for polynomials with real coefficients. ?PAIR OF LINEAR EQUATIONS IN TWO VARIABLES ➡️ ?cross multiplication method ?QUADRATIC EQUATIONS ➡️ ?Situational problems based on equations reducible to quadratic equations ?ARITHMETIC PROGRESSIONS ➡️ ?Application in solving daily life problems based on sum to n terms ?UNIT III-COORDINATE GEOMETRY 〰️ ?COORDINATE GEOMETRY ➡️ ? Area of a triangle. ?UNIT IV-GEOMETRY 〰️ ?TRIANGLES➡️Proof of the following theorems are deleted ?The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. ?In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angle opposite to the first side is a right angle. ?CIRCLES ➡️No deletion ?CONSTRUCTIONS ➡️Construction of a triangle similar to a given triangle. ?UNIT V- TRIGONOMETRY 〰️ ?INTRODUCTION TO TRIGONOMETRY ➡️ ?motivate the ratios whichever are defined at 0o and 90o TRIGONOMETRIC IDENTITIES➡️ ?Trigonometric ratios of complementary angles. ?HEIGHTS AND DISTANCES➡️No deletion ?UNIT VI-MENSURATION 〰️ ?AREAS RELATED TO CIRCLES ➡️ Problems on central angle of 120° ?SURFACE AREAS AND VOLUMES ➡️ Frustum of a cone. ?UNIT VI-STATISTICS & PROBABILITY 〰️ ?STATISTICS ➡️?Step deviation Method for finding the mean ?Cumulative Frequency graph ?PROBABILITY➡️ No deletion

Nikhil Kumar Tiwari 5 years, 1 month ago

For know about your syllabus so, visit now on you tube channel math by pankaj priyanshu

Sakshi Jagtap 5 years, 1 month ago

CHAPTER TOPICS REMOVED ?UNIT I-NUMBER SYSTEMS 〰️ ?REAL NUMBERS ➡️? Euclid’s division lemma ?UNIT II-ALGEBRA 〰️ ?POLYNOMIALS ➡️?Statement and simple problems on division algorithm for polynomials with real coefficients. ?PAIR OF LINEAR EQUATIONS IN TWO VARIABLES ➡️ ?cross multiplication method ?QUADRATIC EQUATIONS ➡️ ?Situational problems based on equations reducible to quadratic equations ?ARITHMETIC PROGRESSIONS ➡️ ?Application in solving daily life problems based on sum to n terms ?UNIT III-COORDINATE GEOMETRY 〰️ ?COORDINATE GEOMETRY ➡️ ? Area of a triangle. ?UNIT IV-GEOMETRY 〰️ ?TRIANGLES➡️Proof of the following theorems are deleted ?The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. ?In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angle opposite to the first side is a right angle. ?CIRCLES ➡️No deletion ?CONSTRUCTIONS ➡️Construction of a triangle similar to a given triangle. ?UNIT V- TRIGONOMETRY 〰️ ?INTRODUCTION TO TRIGONOMETRY ➡️ ?motivate the ratios whichever are defined at 0o and 90o TRIGONOMETRIC IDENTITIES➡️ ?Trigonometric ratios of complementary angles. ?HEIGHTS AND DISTANCES➡️No deletion ?UNIT VI-MENSURATION 〰️ ?AREAS RELATED TO CIRCLES ➡️ Problems on central angle of 120° ?SURFACE AREAS AND VOLUMES ➡️ Frustum of a cone. ?UNIT VI-STATISTICS & PROBABILITY 〰️ ?STATISTICS ➡️?Step deviation Method for finding the mean ?Cumulative Frequency graph ?PROBABILITY➡️ No deletion

Kashish . 5 years, 1 month ago

DECUCTED PORTION MATHEMATICS Code - 041 CLASS X CHAPTER TOPICS REMOVED UNIT I-NUMBER SYSTEMS REAL NUMBERS  Euclid’s division lemma UNIT II-ALGEBRA POLYNOMIALS  Statement and simple problems on division algorithm for polynomials with real coefficients. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES  cross multiplication method QUADRATIC EQUATIONS Situational problems based on equations reducible to quadratic equations ARITHMETIC PROGRESSIONS Application in solving daily life problems based on sum to n terms UNIT III-COORDINATE GEOMETRY COORDINATE GEOMETRY  Area of a triangle. UNIT IV-GEOMETRY TRIANGLES Proof of the following theorems are deleted The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.  In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angle opposite to the first side is a right angle. CIRCLES No deletion CONSTRUCTIONS  Construction of a triangle similar to a given triangle. UNIT V- TRIGONOMETRY INTRODUCTION TO TRIGONOMETRY  motivate the ratios whichever are defined at 0o and 90o TRIGONOMETRIC IDENTITIES Trigonometric ratios of complementary angles. HEIGHTS AND DISTANCES No deletion UNIT VI-MENSURATION AREAS RELATED TO CIRCLES  Problems on central angle of 120° SURFACE AREAS AND VOLUMES  Frustum of a cone. UNIT VI-STATISTICS & PROBABILITY STATISTICS  Step deviation Method for finding the mean  Cumulative Frequency graph PROBABILITY No deletion

Sahil Singh 5 years, 1 month ago

Pta nhi yrr

ANSWER

x+y=a+b,ax-by=a²-b² solve for the value of x and y by substitution

Posted by Krish Pal 5 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Shobha Kumari 5 years, 1 month ago

Given,eqn =x+y=a+b................ (1) And =ax-by=a2-b2........... (2) From (1)*b+(2) =bx+by=ab+b2 =ax-by =a2-b2 =ax+bx=a2+ab =X(a+b)=a(a+b) =X=a Now,on putting x=a in eqn 1 =x+y=a+b =a+y=a+b =y=a Hence,x=a and y =b

Muskan Sharma 5 years, 1 month ago

Given:- equation x+y= a+b and ax - by= a² - b² Solution:- Let x+y =a+b......(1) and ax - by = a² - b² .......(2) Substitute x from (1) in equation (2) a( a+b-y)- by = a²-b² a²+ab-ay-by =a²-b² ab-ay-by=b² ab-y(a+b)=-b² y(a+b)=ab+b² y(a+b)=b(a+b) y=b Substitute y in equation (1)... x+y= a+b x=a+b-b x=a x=a and y=b .

ANSWER

. A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per m2. (Note that the base of the tent will not be covered with canvas.)

Posted by Aditya Parade 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 1 month ago

Let r m be the radius and l m be the slant height of the cone, then
r = 2 m, and l = 2.8 m
Let r₁ m be the radius and h m be the height of the cylinder, then
Now, r₁ – 2 m and h = 2.1 m
Area of the canvas used
= CSA of cone + CSA of cylinder
= πrl + 2 πr₁h
= πrl + 2πrh [r = r₁]
= π r (l + 2h) m²

and Cost of canvas of the tent
= Rs. (500 x 44)
= Rs. 22,000.

ANSWER

Prove that 7-2£3 is irrational number

Posted by Srushtita Tirlapur 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 1 month ago

Let 7-2√3 as rational number.

Then,7-2√3=a/b,where a and b are coprime.

Therefore,-2√3=a/b-7

√3=a/-2b -7

Here,a/-2b -7 is a rational number .

We know that √3 is an irrational number.

Hence,our assumption is not correct.

Therefore,7-2√3 is an irrational number.

ANSWER

If two quadratic polynomial are( x2 + 3x + 2) and k(x2 + 3x + 2). Can both of them have same zeros.

Posted by Khushi Singh 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Sakshi Jagtap 5 years, 1 month ago

Yes absolutely, bcuz both the equations r same........ k(x²+3x+2)=0......... x²+3x+2=0/k........ x²+3x+2=0......... hope this helps uhh ?

ANSWER

Prove that 2tan30upon1+tansquare30=sin60

Posted by Simba Sikarwar 5 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Sakshi Jagtap 5 years, 1 month ago

Ur short solution :- LHS = 2 tan 30÷1+tan²30......... Putting tan 30°= 1/√3............ => 2(1/√3) ÷ 1+ (1/√3)².............. => 2/√3÷1+(1/3)............. => 2/√3÷4/3............ => 2/√3 * 3/4........... => √3/2 = Sin 60°.......... LHS = RHS ........ HENCE PROVED.

Sakshi Jagtap 5 years, 1 month ago

ANSWER!- LHS= 2 tan 30÷1+tan² 30...... Putting tan 30°=1/√3..... => 2(1/√3)÷ 1+(1/√3)²...... => 2/√3÷1+(1/3)...... => 2/√3÷ 4/3 ( since taking LCM of 1+(1/3)..... => 2/√3* 3/4 ( while doing multiplication of both the reciprocal will happen of 4/3)...... Therefore, √3 n 3 will b cancelled and 3 becomes √3, 2 n 4 will b cancelled and 2 will remain...... => √3/2....... :. √3/2 = Sin 60°...... LHS = RHS....... HENCE PROVED...... I think i did my best to explain this solution better?.....yaa its seems to b lengthy bcuz i have solved plus explained also......

ANSWER

If two positive integers a & b are written as a=x^3 y^2 and b=xy^3, where x, y are prime numbers, then HCF(a,b) & LCM(a,b) is

Posted by Paru ? 5 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Paru ? 5 years, 1 month ago

Hey! Thank you ?✌?. Ya its helpful for me.

Sakshi Jagtap 5 years, 1 month ago

The product of all common prime factor is the HCF...... ⇒a=x*x*y*y...... ⇒b=x*y*y...... common Factors are x*y*y....... Thus ,HCF(a,b)=xy² ....... Hope this helps uhh ?...

ANSWER

The salaries of three workers A, B, c are in the ratio 2:3:5.If their salaries are respectively increased by 15%, 10%, and 20% then what will be the ratio of their new salaries

Posted by Ritika Dhruw 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Sakshi Jagtap 5 years, 1 month ago

Let salary of A = 2k,..... B = 3k,..... C = 5k.... =>A's new salary = 115/100 of 2k = 115/100 x 2k = 23k/13....... =>B's new salary = 110/100 of 3k = 110/100 x 3k = 33k/10...... =>C's new salary = 120/100 of 5k = 120/100 x 5k = 6k..... Hence,new ratio = 23k/13 : 33k/10 : 6k = 23 : 33 : 60....... HOPE THIS HELPS UHH?

ANSWER

preparations of mathematical designs and patterns using arithematic progression (atleast 3)

Posted by Madeeha Ali 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Sakshi Jagtap 5 years, 1 month ago

Madeeha we can't share or post images over here.....u can prefer to google

ANSWER

Sin^2 60 - tan^2 45 + cos ^2 30 - cot 90 = _______

Posted by Nandani Jaiswal 5 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Sandeep A W 5 years, 1 month ago

Sin²60=(√3/2)²=3/4. Tan²45=(1)²=1. Cos²30=(√3/2)²=3/4. Cot²90=(0)²=0. Sin²60-Tan²45+Cos²30-Cot²90=3/4-1+3/4-0. =3/4-1+3/4. =3-4+3/4. =6-4/4. =2/4. =1/2.

Palak ? 4 years, 9 months ago

,?

ANSWER

Simplest form of (1- cos2 theta) (1+ cot2 theta)

Posted by Rakhi Gupta 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gautam Sinha 5 years, 1 month ago

Sin2theta ×1/sin2theta= 1

ANSWER

The following table shows the ages of the patient admitted in a hospital

Posted by Sunil Raj 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Akshat Singhal 5 years, 1 month ago

Provide the full question to answer it

ANSWER

What is the area of square inscribed in a circle of diameter x cm?

Posted by Punam Singh 5 years, 1 month ago

CBSE > Class 10 > Mathematics

3 answers

Muskan Sharma 5 years, 1 month ago

Answer:-1/2xsq

Sakshi Jagtap 5 years, 1 month ago

Answer:- 1/2x²

Palak ? 5 years, 1 month ago

Hey, punam its answer is 1/2x sq. Please I hv a request search preksha rana channel on YouTube and if u liked her videos please subscribe the channel and like it,,....if possible do share it with ur frnds and family members

ANSWER

2x^2 - 7x +3=0

Posted by A. K Gamer 5 years, 1 month ago

CBSE > Class 10 > Mathematics

4 answers

King Adithya H M... 5 years, 1 month ago

2x²-x-6x+3=x(2x-1)-3(2x-1)(x-3) =>x=3 or ½

Mansi Mansi 5 years, 1 month ago

2x^2-x-6x+3=x(2x-1)-3(2x-1) => (2x-1)(x-3)=> x=3 or x=1/2

Itachi Uchiha ? 5 years, 1 month ago

meet.google.com/vkd-rwgd-dbx .....join it

Lucifer?? Morningstar?? 5 years, 1 month ago

2x²-x-6x+3 => x(2x-1)-3(2x-1) => (x-3)(2x-1) => x=3 or 1/2

ANSWER

What are the properties of logarithms

Posted by Akash K 5 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Itachi Uchiha ? 5 years, 1 month ago

Sandhya k if you don't understand hindi then how can your name Sandhya..bcz this is a indian cultural name .....are u think I m a mad bt no I try to gave my better to the students to achieve their goals........bt plzz don't mind it....

Itachi Uchiha ? 5 years, 1 month ago

Sandhya now join this next meeting

ANSWER

R.D sharma ka page 202 ka question no 13 of quadratic equation ch ka soln

Posted by Kumari Himanshu 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Itachi Uchiha ? 5 years, 1 month ago

Join this meet.google.com/vkd-rwgd-dbx

ANSWER

Sum of first n natural numbers=n(n+1)/2

Posted by Rishabh Pawar 5 years, 1 month ago

CBSE > Class 10 > Mathematics

3 answers

King Adithya H M... 5 years, 1 month ago

sñ =1+2+3+4......+ñ sñ=ñ/2[2(1)+[ñ-1)1]=ñ(ñ+1)/2

Itachi Uchiha ? 5 years, 1 month ago

meet.google.com/vkd-rwgd-dbx join this link

Muskan Sharma 5 years, 1 month ago

Sn= 1+2+3+4+5+........+n Sn =n/2(2(1)+(n-1) 1) = n(n+1)/2

ANSWER

Prove that: ???? +???? sin ?−???? + ???? −???? sin ?+???? = 2 ??? 2?−??? 2?

Posted by Na. Shakthi 5 years, 1 month ago

CBSE > Class 10 > Mathematics

3 answers

King Adithya H M... 5 years, 1 month ago

2/1-2çóß²A

Itachi Uchiha ? 5 years, 1 month ago

Join this meet.google.com/vkd-rwgd-dbx

Yogita Ingle 5 years, 1 month ago

1) (a+b)²+(a-b)² = 2(a²+b²)

2) (a-b)(a+b) = a²-b²

and

By Trigonometric identity:

sin²A+cos²A = 1 */

*/

/* By Trigonometric identity:

cos²A = 1-sin²A*/

Therefore,

ANSWER

Is Excetcise 6.4 Ommited according to Revised Syllabus ( 2020 - 21)

Posted by Yana Shah 5 years, 1 month ago

CBSE > Class 10 > Mathematics

3 answers

Itachi Uchiha ? 5 years, 1 month ago

Join this meet.google.com/vkd-rwgd-dbx

Gaurav Seth 5 years, 1 month ago

HRD Minister Ramesh Nishank announced a major CBSE syllabus reduction for the new academic year 2020-21 on July 7 which was soon followed by an official notification by CBSE on the same.

Considering the loss of classroom teaching time due to the Covid-19 pandemic and lockdown, CBSE reduced the syllabus of classes 9 to 12 with the help of suggestions from NCERT.

The CBSE syllabus has been rationalized keeping intact the learning outcomes so that the core concepts of students can be retained.

Deleted syllabus of CBSE Class 10 Mathematics

Sakshi Jagtap 5 years, 1 month ago

no, 6.4 is not Ommited.

ANSWER

https://meet.google.com/jxh-udvj-vuf

Posted by Itachi Uchiha ? 5 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Itachi Uchiha ? 5 years, 1 month ago

https://meet.google.com/omc-jpgf-hkk

Numa Khan 5 years, 1 month ago

https://meet.google.com/jxh-udvj-vuf

ANSWER

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