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

UNIT I-NUMBER SYSTEMS
Chapter	Topics
REAL NUMBERS	Euclid’s division lemma
UNIT II-ALGEBRA
Chapter	Topics
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
Chapter	Topics
COORDINATE GEOMETRY	Area of a triangle
UNIT IV-GEOMETRY
Chapter	Topics
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 sumof 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
Chapter	Topics
INTRODUCTION TO TRIGONOMETRY	Motivate the ratios whichever are defined at 0^o and 90^o
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
Chapter	Topics
STATISTICS	· Step deviation Method for finding the mean · Cumulative Frequency graph
PROBABILITY	No deletion

6Thank You

ANSWER

What is more solution of 3x3-5x-11x-3

Posted by Bharat Kol 5 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

What is the sum of root 2 multiply by 1upon root 2

Posted by M. Azad 5 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

The sum of 2 numbers is 8 . If their sum is 4 times their difference find the number

Posted by Indragaj Nagar 5 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Niharika Raj 5 years, 3 months ago

Let the numbers be X and Y. In first case X + Y = 8 In second case X + Y= 4(x-y) After solving the both equation you will get x is equal to 5 and Y is equals to 3

0Thank You

Santosh Suhana 5 years, 3 months ago

Let number will be x and y. Given, x+y =8.......(i) 4(x-y) =x+y. Or, 4x-4y =8.........(ii) [x+y =8 in eq. i ] Now, multiply by 4 in eq. i Then we get, 4x+4y =32......(i) Now, Substract eq.(ii) from eq.(i) 4x+4y =32, 4x-4y =8, - + - ____________ 8y =24 Or, y =3. Put the value of y in eq.(i) X+y =8 x+3 =8 X. =8-3 =5. Hence, number will be 5 and 3.

1Thank You

Lakhan Jee Madhav 5 years, 3 months ago

Let x+y=8. ____(1eq) .4 (y-x)=x+y______2nd(eq) Solve both Equation X=0 Y=8 Right answer

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ANSWER

If in two triangle ABC and PQR , AB/QR= BC/PR= CA / PQ .

Posted by Prakriti Dubey 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 4 months ago

Given, in two Δ ABC and Δ PQR, AB/QR = BC/PR = CA/PQ
which shows that sides of one triangle are proportional to the side of the other triangle, then their corresponding angles are also equal, so by SSS similarity, triangles are similar.
i.e., Δ CAB ∼ Δ PQR

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ANSWER

Root 7 is irrational number

Posted by Shubham Rai 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Gaurav Seth 5 years, 4 months ago

let us assume that √7 be rational.
then it must in the form of p / q [q ≠ 0] [p and q are co-prime]
√7 = p / q
=> √7 x q = p
squaring on both sides
=> 7q²= p² ------ (1)
p² is divisible by 7
p is divisible by 7
p = 7c [c is a positive integer] [squaring on both sides ]
p² = 49 c² --------- (2)
Subsitute p² in equ (1) we get
7q² = 49 c²
q² = 7c²
=> q is divisible by 7
thus q and p have a common factor 7.
there is a contradiction
as our assumsion p & q are co prime but it has a common factor.
So that √7 is an irrational.

1Thank You

Parishka Khandelwal 5 years, 4 months ago

We have to prove this wanna

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ANSWER

If angle A and angle B are acute angles such that cosA =cosB, show that angle A= angle B.

Posted by Aayush Ranjan 5 years, 4 months ago

CBSE > Class 10 > Mathematics

5 answers

Hk Honey 5 years, 3 months ago

Hey anshika

0Thank You

Hk Honey 5 years, 3 months ago

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Sakshi Sehrawat 5 years, 4 months ago

In right triangle ABC CosA= AC/AB AND CosB= BC/AB BUT CosA= CosB (given) AC/AB=BC/AB AC=BC THEREFORE Angle A = Angle B ( angle opposite to equal sides are equal

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Aradhana Hota 5 years, 4 months ago

Hii Anshika

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Gaurav Seth 5 years, 4 months ago

Let us consider two right angle triangles right angled at Q and S respectively.
Now,

But cos A = cos B (given)
∴



Let

In ΔRAS,
Using Pythagoras theorem, we have

In APBQ,
Using Pythagoras theorem, we have

So,
Comparing (i) and (ii), we get

So, by using SSS similar condition

∴

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ANSWER

Sets

Posted by Waheedunnisa Saudi 5 years, 4 months ago

CBSE > Class 10 > Mathematics

3 answers

Parishka Khandelwal 5 years, 4 months ago

Which sets

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Mahi..... ♾ 5 years, 4 months ago

What 'sets'???? (Bhai pura question to likho)

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Waheedunnisa Saudi 5 years, 4 months ago

Sets

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ANSWER

If alfha and beta are the zeros of the polynomials p(x)= X square - px - (p +c ) ,then find the value of ( alpha+1) * (beta+1)

Posted by Bhavya Gupta 5 years, 4 months ago

CBSE > Class 10 > Mathematics

3 answers

Hk Honey 5 years, 3 months ago

Hey

1Thank You

Bhavya Gupta 5 years, 4 months ago

It's wrong i.e answer is wrong answer is qx²+px+1

1Thank You

Prakriti Dubey 5 years, 4 months ago

c = - 1 Step-by-step explanation: x² - p ( x + 1 ) + c ⇒ x² - p x - p + c ⇒ x² - p x + ( c - p ) Comparing with ax² + bx + c, we get : a = 1 b = - p c = c - p . Given : ( α + 1 )( β + 1 ) = 0 ⇒ αβ + α + β + 1 = 0 Note that, sum of roots = - b/a α + β = - b / a But b = - p a = 1 So α + β = - ( - p ) / 1 = p Product of roots = αβ = c / a ⇒ αβ = ( c - p ) Hence write this as : αβ + α + β + 1 = 0 ⇒ c - p + p + 1 = 0 ⇒ c + 1 = 0 ⇒ c = -1

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ANSWER

If alfha and beta are the zeros of the polynomials p(x)=x square+X +1 ,then find the sum of the reciprocals i.e. 1/alfha + 1/beta

Posted by Bhavya Gupta 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Prakriti Dubey 5 years, 4 months ago

x² - p ( x + 1 ) + c ⇒ x² - p x - p + c ⇒ x² - p x + ( c - p ) Comparing with ax² + bx + c, we get : a = 1 b = - p c = c - p . Given : ( α + 1 )( β + 1 ) = 0 ⇒ αβ + α + β + 1 = 0 Note that, sum of roots = - b/a α + β = - b / a But b = - p a = 1 So α + β = - ( - p ) / 1 = p Product of roots = αβ = c / a ⇒ αβ = ( c - p ) Hence write this as : αβ + α + β + 1 = 0 ⇒ c - p + p + 1 = 0 ⇒ c + 1 = 0 ⇒ c = -1

1Thank You

ANSWER

Write a pair of linear equation which has unique solution x=2and y=-3.how many such pairs can you write

Posted by Sharon Elsa 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Sharon Elsa 5 years, 4 months ago

Please answer my question

0Thank You

Gaurav Seth 5 years, 4 months ago

Solution :

Now, We have to make up a pair of linear equations with solution: x=-1 and y =3.

Let, and

1st Equation form is

Let, and

2nd Equation form is

Therefore, The required equations are and

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ANSWER

Solve the following for x and y by using method of elimination :

Posted by Md Nadim Sarbar 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Tina Singhal 5 years, 4 months ago

What is the equation here ???

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ANSWER

Kx+2y=5 3x-4y=10

Posted by Veshu Pathak 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 4 months ago

The given system of equations:

kx + 2y = 5

⇒ kx + 2y - 5 = 0 ….(i)

3x - 4y = 10

⇒3x - 4y - 10 = 0 …(ii)

These equations are of the forms:

Thus for all real values of k other than −3/2 , the given system of equations will have a unique solution.

(ii) For the given system of equations to have no solutions, we must have:

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ANSWER

What is is dependent consistent

Posted by Ritika Talwar 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Santosh Suhana 5 years, 4 months ago

It means that there are infinite many solution,and when we draw a graph ,then line of both equation are coincident or both equation draw on the same line. And they will be presant in form a1/a2= b1/b2= c1/c2. Or ratio of all cofficiant of like term are equal. For example:- 2x^2+4x+7=0, 4x^2+8x+14=0. Here, In first equation, a=2. ,b=4, c=7 In second equation, a=4, b=8, c=14 a1/a2=b1/b2=c1/c2 2/4= 4/8= 7/14 1/2= 1/2= 1/2 Hence,this pair of equation are coincident.

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Meghna Thapar 5 years, 4 months ago

If the systems of equations are dependent, it means that there are an infinite number of solutions. So in order to determine a single solution (out of the infinite possibilities), the value of x will depend on what you choose as the value of y. That is, x varies with y (and y varies with x). In mathematics and particularly in algebra, a linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

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one card is drawn from a well-shuffled deck of 52 cards .calculate the probability that the card will be in ace.

Posted by Harshini V.M 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Harshini V.M 5 years, 4 months ago

no .....

0Thank You

Harshini V.M 5 years, 4 months ago

The probability of cards in ACE = 4 total outcomes =52 so, p(a)=number of favorable outcomes /total number of outcomes p(ace) = 4/52 =1/13 answer -------> probability of ACE is 1/13

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ANSWER

The number 1.414 is rational or irrational.

Posted by Hardeep Singh 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Santosh Suhana 5 years, 4 months ago

1.414 is an rational number. Because,1.414 can be written in form p/q,where qis not equal to 0. Solution:- 1.414= 1414/1000. [both are divided by 2] =707/500. Here,p=707 q=500. So it is a rational number

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Lucifer?? Morningstar?? 5 years, 4 months ago

Irrational

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If the difference of cube of two no. is 331 and sum of thier square is 221. Then find the no.s

Posted by A S 5 years, 4 months ago

CBSE > Class 10 > Mathematics