Class 10, Quadratic Equations, CBSE Online Test Paper (Set

1. There will be total 30 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. The nature of the roots of following quadratic equation 3x²-4√3x+4=0 is

Unequal

Equal

No real roots

None of above

Your comments:

Question 1 of 30

2. The roots of quadratic equation x² – 9 = 0 are

± 3

± 6

± 4

± 9

Your comments:

Question 2 of 30

3. The equation x-1/x = -2 in standard form ax² + bx + c = 0 is written as

x² - 2x -1 = 0

x² + 2x -1 = 0

x² - 2x +1 = 0

x² + 2x +1 = 0

Your comments:

Question 3 of 30

4. The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m². Which of the following quadratic equations represents the given situation:

x²+2x- 528=0

x²+x- 528=0

2x²+x- 528=0

2x²+x+ 528=0

Your comments:

Question 4 of 30

5. If the length of the rectangle is one more than the twice its width, and the area of the rectangle is 300 square meter. What is the measure of the width of the rectangle?

-25

Your comments:

Question 5 of 30

6. Write the condition, when given quadratic equation has no real roots.

b² - 4ac = 0

b² - 4ac > 0

Either A or C

b² - 4ac < 0

Your comments:

Question 6 of 30

If is a root of the equation x²+ kx - =0, then the other root of the quadratic equation is

1/4

-5/2

-2

1/2

Your comments:

Question 7 of 30

8. The value/s of x when (x - 4) (3x + 2) = 0 ________

4, -2/3

-4, - 2/ 3

4, 2/3

-4, 2/3

Your comments:

Question 8 of 30

9. If x = -2 is a root of equation x² - 4x + K = 0 then value of K is

-8

-12

Your comments:

Question 9 of 30

10. Which of the following is a root of the equation x²-3√3 +6 = 0?

√2

√3

Your comments:

Question 10 of 30

11. If ax² + bx + c , a≠0 is factorizable into product of two linear factors, then roots of ax² + bx + c = 0 can be found by equating each factor to

-1

Your comments:

Question 11 of 30

12. If the equation px² - 6x - 2 = 0 has real roots then, ________

p ≥ -9/2

p > -9/2

p < -9/2

p ≤ -9/2

Your comments:

Question 12 of 30

13. Which of the following is not a quadratic equation?

3x + 4 - 7x² = 0

z² - 2z = 0

5x +3y² = 0

5x² - 125 = 0

Your comments:

Question 13 of 30

14. Which of the following equations has two distinct real roots?

5x² - 3x + 1 = 0

x2 + 3x + 2√2 = 0

2x² - 3√2 x + 9/4 = 0

x² + x - 5 = 0

Your comments:

Question 14 of 30

15. The sum of areas of two squares is 468m². If the difference of their perimeters is 24m, then the sides of the two squares are:

12m and 18m

18m and 24m

24m and 28

6m and 12m

Your comments:

Question 15 of 30

16. If x = 1 is a root of equation x² - Kx + 5 = 0 then value of K is

-6

Your comments:

Question 16 of 30

17. The condition for equation ax² + bx + c = 0 to be quadratic is

a ≠ 0

a > 0

a ≠ 0, b ≠ 0

a < 0

Your comments:

Question 17 of 30

18. Which of the following is a quadratic equation?

Your comments:

Question 18 of 30

19. The perfect square binomial obtained by adding a constant to the expression : x² – 18x is

(x + 3)²

(x – 9) ²

(x +9) ²

(x – 3)²

Your comments:

Question 19 of 30

20. If x = 2 is a root of equation x² + 3x - k = 0 then value of k is

Your comments:

Question 20 of 30

21. Which of the following equations has the sum of its roots as 3?

2x²-3x+6=0

x²+5x+6=0

-x²+3x-3=0

3x²-3x+3=0

Your comments:

Question 21 of 30

22. Solve 9x²= 36

±4

±6

±2

Your comments:

Question 22 of 30

23. A real number α is said to be a root of ax²+bx+c =0

Your comments:

Question 23 of 30

24. For what value of k, the equation kx² - 6x - 2 = 0 has equal roots?

-9/2

-7/2

7/2

-3

Your comments:

Question 24 of 30

25. Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.

11 and 5

12 and 4

10 and 6

14 and 2

Your comments:

Question 25 of 30

26. The roots of quadratic equation are 2x²+3x-9 = 0 are:

-1.5 and -3

1.5 and -3

1.5 and 3

-1.5 and 3

Your comments:

Question 26 of 30

27. The same value of x satisfies the equations 4x + 5 = 0 and 4x² + (5 + 3p)x + 3p²=0, then p is

0 or 5/4

¼ or ½

0 or ¼

0 or ½

Your comments:

Question 27 of 30

28. The solution of x² + 4x + 4 = 0 is

None of these

-2

Your comments:

Question 28 of 30

29. The roots of quadratic equation x² – 9 = 0 are

± 3

± 6

± 4

± 9

Your comments:

Question 29 of 30

30. The solutions of the equation

are

-54, 6

-6, -54

-6, 54

6, 54

Your comments:

Question 30 of 30

Leave a Reply Cancel reply