CBSE > Class 10 > Mathematics | CBSE Board | Homework Help

The number in the form of p/q where p is numerator and q is denominator is called fraction. & The number in the form of p/q where q≠0, is known as rational number.

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Mr Thunder 2 years, 1 month ago

same ...

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Strive not to be a success, but rather to be of value.

Posted by Mahir Kumar 2 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Mahir Kumar 2 years, 1 month ago

Strive not to be a success, but rather to be of value.

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Sum of the ages of father and the sonia 40 years. If father age is 3times that of his son then find their respective ages?

Posted by Abhinav Abhinav 2 years, 1 month ago

CBSE > Class 10 > Mathematics

4 answers

A B 2 years, 1 month ago

sorry son age =10

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A B 2 years, 1 month ago

sonia age =10 father age =30

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Vipan Kaur 2 years, 1 month ago

Let the Sonia age = x years AND his father age = 3 times the Sonia age = 3x According to our question , 3x + x = 40 4x = 40 X = 10 Therefore,Sonia age = 10 years And his father age = 3× 10 = 30 years

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Arnav Som 2 years, 1 month ago

Let son be x Father will be 3 x ATQ 3x+x=40 4x=40 x=10 Son - 10 years Father - 30 years

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The distance of the point (4,7) from the y-axis is

Posted by Rahul Prajapati 2 years, 1 month ago

CBSE > Class 10 > Mathematics

5 answers

Atharv Wankhade 2 years, 1 month ago

7 is best anwer because (x,y)=(4,7) y=7 hence distance from y axis is 7

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Vaibhav Gupta 2 years, 1 month ago

Lol 4

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Vaibhav Gupta 2 years, 1 month ago

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Deepak Sharma 2 years, 1 month ago

4 unit

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Arnav Som 2 years, 1 month ago

4 units

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How to pass

Posted by Abell Thankachan 2 years, 1 month ago

CBSE > Class 10 > Mathematics

5 answers

Ayush Mishra 2 years, 1 month ago

By study

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Deepak Sharma 2 years, 1 month ago

Study

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Ankush Pandey 2 years, 1 month ago

To using mobile

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Aniket Tanwar 2 years, 1 month ago

Study

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Shoumik Meow 2 years, 1 month ago

NCERT thoroughly

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D is midpoint on the side bc of triangle ABC such that ADC=bac show that ca2=cb.cd

Posted by Yash Malik 2 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

K. Hema 2 years, 1 month ago

Given, D is a point on the side BC of a triangle ABC such that ∠ADC = ∠BAC. In ΔADC and ΔBAC, ∠ADC = ∠BAC (Already given) ∠ACD = ∠BCA (Common angles) ∴ ΔADC ~ ΔBAC (AA similarity criterion) We know that corresponding sides of similar triangles are in proportion. ∴ ��=��CBCA=CACD ⇒ CA2 = CB.CD. Hence, proved.

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Abell Thankachan 2 years, 1 month ago

I don't know

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Shaurya made a map of his locality on a coordinate plane kartik house park OY

Posted by Yash Sahu 2 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Bilal Shaikh 2 years, 1 month ago

What is meaning of Pythagoras

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Shaurya made a map of his locality on a coordinate plane kartik's house park oy

Posted by Yash Sahu 2 years, 1 month ago

CBSE > Class 10 > Mathematics

0 answers

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SinA+cosecA2 +cosA + secA2 =7+tan2A+ cot2A

Posted by Aryan Sharma 2 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Renuka Sahoo 2 years, 1 month ago

=Sin²A+Cosec²A+2SinA.CosecA+Cos²A+Sec²A+2CosA.SecA =Sin²A+Cosec²A+Cos²A+Sec²A+4 =Sin²A+Cos²A+4+Cosec²A+Sec²A =1+4+Cosec²A+Sec²A =5+1+Cot²A+1+Tan²A =7+tan²A+Cot²A

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V R 2 years, 1 month ago

That is a wrong questions... Right questions is (SinA+cosecA)^2 +(cosA + secA)^2=(7+tan2A+ cot2A)

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What is cot

Posted by Sejal Yadav Yadav 2 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

V R 2 years, 1 month ago

It is a trigonometry ratio. Which is (cotA=cosA/sinA)

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Parth Yadav 2 years, 1 month ago

Trignometric ratio Cot= cos/sin

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How many terms are there in AP. 7,13,19,........205

Posted by Piyush Chhuria 2 years, 1 month ago

CBSE > Class 10 > Mathematics

5 answers

Gautam Bansal 2 years, 1 month ago

Let an=205 , d =a2-a1=6 a+(n-1)d =205 7+(n-1)6=205 (n-1)6= 205-7 (n-1)6 =198 n-1 =198/6 n-1 =33 n=34 Ans.

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Aryan Sharma 2 years, 1 month ago

34 terms

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Ayush Garg 2 years, 1 month ago

7,13,19..........205 a=7 , d=13-7=19-13=6 an= a+(n-1)d 205=7+(n-1)6 (205-7)/6=n-1 198/6=n-1 33=n-1 34=n answer

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Manika Sharma 2 years, 1 month ago

7,13,19........205 a=7. d = 13 - 7 = 6. an = 205 an = a + (n -1) d 205 = 7 + ( n -1) 6 205 - 7 = (n -1) 6 198/6 = ( n - 1) 33 = ( n - 1) n = 34

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Jayant Khanna 2 years, 1 month ago

n = 34

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Prove that: (cosec- sin) (sec- cos) (tan- cos)= 1

Posted by Nandni Gupta 2 years, 1 month ago

CBSE > Class 10 > Mathematics

4 answers

A B 2 years, 1 month ago

after tan,it will be placed..

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A B 2 years, 1 month ago

Sorry, but this question is wrong. here it will be +cot on the place of -cos ....then you can solve it..

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Vivek Prajapati 2 years, 1 month ago

Tum 3 bracket mein cot kardo uske baad cosec ko sin mein sec ko cos mein aur tan ko cot mein kardo ho jayega girl

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Vivek Prajapati 2 years, 1 month ago

R u sure 3 bracket mein tan ke aage cos hoga ya cot

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Define Factor theorem of Arithmetic

Posted by Mohammad Amaan 2 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 1 month ago

In mathematics, factor theorem is used when factoring the polynomials completely. It is a theorem that links factors and zeros of the polynomial. According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0.

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49x + 51y =499 51x +49y =501

Posted by Malti Yadav 2 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Arham Jain 2 years, 1 month ago

Step. 1 add both eq. So we get , X+y=10 ...................................(I) Step. 2 substract eq 2 from 1 So, we get, X-y=1............................... (II) Now add both above eq So we get the value of x = 11/2 And value of y=9/2...

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Himanshi Yadav 2 years, 1 month ago

Step. 1 add both eq. So we get , X+y=10 ............. (I) Step. 2 substract eq 2 from 1 So, we get, X-y=1.......... (II) Now add both above eq So we get the value of x = 11/2 And value of y=9/2...

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Important questions for boards

Posted by Krishnakshi Sharma 2 years, 1 month ago

CBSE > Class 10 > Mathematics

4 answers

Vipan Kaur 2 years, 1 month ago

First complete all NCERT ,then solve sample papers and then previous year question paper + sample paper for board exams

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Dev Sharma 2 years, 1 month ago

Questions bank on cbse site

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Nayra Shrivastava 2 years, 1 month ago

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Aleeza Siddique 2 years, 1 month ago

Previous years question papers

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If angle 1 = angle 2 and ∆NSQ congrent to ∆MTR then prove that ∆PTS congrent to ∆PRQ

Posted by Mayur Patel 2 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 1 month ago

Since $\triangle$ NSQ $\cong$ $\triangle$ MTR
$\therefore$ $\angle$ SQN = $\angle$ TRM
$\Rightarrow$ $\angle$ Q= $\angle$ R(in $\triangle$ PQR)
$\angle Q$ = 90^o- $\frac{1}{2}\angle P$
Again 1 = $\angle$ 2 [given in $\triangle$ PST](Isosceles property)
$\therefore$ $\angle$ 1= $\angle$ 2 = $\frac{1}{2}\left( {{{180}^ \circ } - \angle P} \right)$
$= {90^ \circ } - \frac{1}{2}\angle P$
Thus, in $\triangle$ PTS and $\triangle$ PRQ
$\angle$ 1 = $\angle$ Q [Each = 90° - $\frac{1}{2}\angle P$ ]
$\angle$ 2 = $\angle$ R, $\angle$ P= $\angle$ P(Common)
$\triangle$ PTS $\cong$ $\triangle$ PRQ

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if alpha and beeta are the zeroes of p(x)=3x2+2x+1,find the polynomial whose zeroes are 1-alpha/1+alpha and 1-beeta/1+beeta

Posted by Goransh Upadhyay 2 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 1 month ago

Since $\alpha \text { and } \beta$ are the zeroes of polynomial 3x² + 2x + 1.
Hence, $\alpha + \beta = - \frac { 2 } { 3 }$
and $\alpha \beta = \frac { 1 } { 3 }$
Now, for the new polynomial,
Sum of zeroes = $\frac { 1 - \alpha } { 1 + \alpha } + \frac { 1 - \beta } { 1 + \beta }$
$= \frac { ( 1 - \alpha + \beta - \alpha \beta ) + ( 1 + \alpha - \beta - \alpha \beta ) } { ( 1 + \alpha ) ( 1 + \beta ) }$
$= \frac { 2 - 2 \alpha \beta } { 1 + \alpha + \beta + \alpha \beta } = \frac { 2 - \frac { 2 } { 3 } } { 1 - \frac { 2 } { 3 } + \frac { 1 } { 3 } }$
$\therefore$ Sum of zeroes = $\frac { 4 / 3 } { 2 / 3 } = 2$
Product of zeroes = $\left[ \frac { 1 - \alpha } { 1 + \alpha } \right] \left[ \frac { 1 - \beta } { 1 + \beta } \right]$
$= \frac { ( 1 - \alpha ) ( 1 - \beta ) } { ( 1 + \alpha ) ( 1 + \beta ) }$

$=\frac{1-(\alpha+\beta)+\alpha \beta}{1+(\alpha+\beta)+\alpha \beta}$
$=$ $\frac { 1 + \frac { 2 } { 3 } + \frac { 1 } { 3 } } { 1 - \frac { 2 } { 3 } + \frac { 1 } { 3 } } = \frac { \frac { 6 } { 3 } } { \frac { 3 } { 3 } } = 3$
Hence, Required polynomial = x² - (Sum of zeroes)x + Product of zeroes
= x² - 2x + 3

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The sum of first n terms of an AP is 210 and sum of its first (n-1) terms is 171.if the first term is 3 then write the arithmetic progression

Posted by Nayana M S 2 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 1 month ago

To find the AP if the sum of first n terms of arithmetic progression is 210 and sum of its first (n-1) terms is 171. If the first term is 3 .

As we know that if AP has n terms,then after removing (n-1) terms,we are left with the last term.

ACF, last term is 210-171

l= 39

a= 3

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Two poles, 30 feet and 50 feet tall, are 40 feet apart and perpendicular to the ground. The poles are supported by wires attached from the top of each pole to the bottom of the other, as in the figure. A coupling is placed at C where the two wires cross. (i) What is the horizontal distance from C to the taller pole? (ii) How high above the ground is the coupling ? (iii) How far down the wire from the smaller pole is the coupling ?

Posted by Manvi Sahay 2 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Yashika Yashu 2 years, 1 month ago

Fight against

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A cone of height 24 cm and radius of base 6 cm is made up of modelling clay a child reshape it in the form of sphere find the radius of the sphere

Posted by Youcancallmesam Shami 2 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Manish Verma 2 years, 1 month ago

6 cm is the right answer

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Arya Jain 2 years, 1 month ago

Vol of cone = vol of sphere 1/3πr^h = 4/3πr^3

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What is the zero of the polynomial 2x-4

Posted by Sudha Kashyap 2 years, 1 month ago

CBSE > Class 10 > Mathematics

5 answers

Vivek Prajapati 2 years, 1 month ago

-2;+2

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Sruti .S 2 years, 1 month ago

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
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Mukul Singh 2 years, 1 month ago

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Taniya . 2 years, 1 month ago

Therefore, the zero of the polynomial 2x - 4 is 2.

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Deepak Sharma 2 years, 1 month ago

Only one

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Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by Sudha Kashyap 2 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Shrikanth Madki 2 years, 1 month ago

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If I study Rd Sharma and rs Agarwal can I score a+

Posted by Nizin Nizin 2 years, 1 month ago

CBSE > Class 10 > Mathematics

5 answers

Aditya Yadav 2 years, 1 month ago

Pass ho jauga Mai

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Adiba Mansuri 2 years, 1 month ago

After solving rd Sharma, solve previous year papers...

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Sejan Suhail 2 years, 1 month ago

Tuhamar fail hona paka hai🤣🤣

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Sahil Rawat 2 years, 1 month ago

After doing Rd sharma Solve sample paper

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Tarun Singh Rathour 2 years, 1 month ago

Yes you can but you have to study with concentration

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5-√3is a irrational number

Posted by Rocky ☯️ 2 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

Taniya . 2 years, 1 month ago

Let us assume, 5−√3 is a rational number ⇒5−√3=qp, where p,q∈z,q=0 5−qp=√3 ⇒q5q−p=√3 ⇒√3 is a rational number ∵q5q−p is rational but √3 is not a rational number. This gives us a contradiction. ∴ our assumption that 5−√3 is a rational number is wrong ⇒5−√3 is an irrational number.

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Aditya Verma 2 years, 1 month ago

Let we assume that 5-√3 is rational.so we can write is on p/q where pq are coprime and q not equal to 0 5-√3=p/q √3=p/q-5 So p/q is integers so therefore √3 is rational But we know the fact that √3 is irrational Our assumption get wrong so therefore 5-√3 is irrational Hence proved....

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A floor designed is made by 2 dimensional geometrical figures Find the coordinates of mid point of PP' Find the distance of point P from y axis

Posted by Preeti Fulara 2 years, 1 month ago

CBSE > Class 10 > Mathematics

3 answers

Basavachetan Biradar 2 years, 1 month ago

😅🤣😂

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Naman Sharma 2 years, 1 month ago

Bro pls ask right questions

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Mukesh Chaudhary 2 years, 1 month ago

😆😆

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Tan A÷1-cotA + cotA÷1-tanA. =. 1+secAcosecA

Posted by Priyansh Bairwa 2 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Vinita Chauhan 2 years, 1 month ago

Sin A/cosA÷sinA-cosA/sinA +cosA/sinA÷cosA-sinA/cosA =sin²A÷cos(sin-cos)+cos²÷sin(cos-sin) Rest you can solve

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If the sum of first m term of an a.p is the same as the sum it's first n term show that the sum of its first m+n term is zero

Posted by Ashutosh Singh 2 years ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years ago

Let a be the first term and d be the com m on difference of the given A.P. Then,
S_m= S_n
$\Rightarrow \frac{m}{2}$ {2a + (m - 1) d} = $\frac{n}{2}$ {2a + (n - 1) d}
$\Rightarrow$ 2a(m - n) + {m(m - 1) - n(n - 1)} d = 0
$\Rightarrow$ 2a(m - n) + [(m²- n²) - (m - n)d = 0
$\Rightarrow$ (m - n){2a + (m + n - 1)d = 0
$\Rightarrow$ 2a + (m + n - 1)d = 0 [ $\because$ m - n $\ne$ 0] ...(i)
$\therefore$ S_m+n= $\frac{m+n}{2}$ {2a + (m + n - 1) d} = $\frac{m+n}{2} \times$ 0 = 0 [Using (i)]
Hence proved on basis of above equation.