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CBSE Class 10 Mathematics Worksheet

UNIT II: Algebra - Quadratic Equations

1.

Check whether the equation a(a+1) + 8 = (a+2)(a-2) is a quadratic equation.

2.

Solve the quadratic equation  for q

3.

If 2/3 and -3 are the roots of the equation aq+ 7q + b = 0, Then find the value of a and b?

4.

Find the value of P for which the quadratic equation  has equal roots.

5.

The difference of two numbers is 5 and the difference of their reciprocal is 1/10. Find the numbers.

6.

Find the roots of the equation by the method of completing the squares.

7.

Two water taps together can fill a tank in 9 hours 36 minutes. The tap of larger diameter takes 8 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank

A)

26 hours

B)

20 hours 

C)

22 hours

D)

24 hours

8.

Find the nature of the roots of the quadratic equation

9.

The perimeter of a rectangular field is 82 m and its area is 400 sq. m. Find the length and breadth of the rectangle.

10.

Solve for x:

11.

Solve the following quadratic equation for q:

12.

Sum of the area of two squares is 468 m2. If the diffrent of their perimeter is 24m, Find the sides of the two square.

13.

Solve 1/(p+q+x) = 1/p+1/q+1/x, p+q ≠0.

14.

The roots of the quadratic equation 2x2+x- 6=0 are __ and __. 

A)

-4 and - 3

B)

4 and 3

C)

4 and - 3

D)

-4 and 3

15.

what is the value of  x : √3x2-2√2x-2√3=0 

A)

√6, -√(2/3)

B)

√7, -√(3/2)

C)

√5, -√(2/3)

D)

√6, -√(5/3)

16.

the perimeter of a rectangle is 82 m and its area is 400 . The breadth of the rectangle is  

A)

25 m

B)

20 m

C)

16 m

D)

9 m

17.

If α and β are the roots of the eqution x2 - a(x-1) - b = 0, then the value of 

A)

1

B)

2

C)

2

D)

4

18.

Solve for

19.

Find the value of P for which the quadratic equation has equal roots

20.

Find the value of k for which the equation has equal roots. Also find the roots.

CBSE Class 10 Mathematics Worksheet

UNIT II: Algebra - Quadratic Equations

Answers

1.

No it is not

2.

q = a/2 , -a

3.

a = 3, b = -6

4.

p = -1, 3

5.

10, 5

6.

Roots are ,

7.
Option D

8.

-56 so the equation is not real root

9.

L = 25 m, B = 16 m

10.

x = 1, 2

11.

q = a - 2b, q = a + 2b

12.

12 & 18

13.

x = -p or x = -q

14.
Option C
15.
Option A
16.
Option C
17.
Option A

18.

x = 1, -2

19.

20.

k = 0, 1; x = -1/2

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