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

1. There will be total 25 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. Which of the following is a solution of the quadratic equation x² – b² = a(2x-a)

x= ab

x = a/b

x = b/a

x = a+b

Question 1 of 25

2. Which of the following statement is TRUE?

A quadratic equation in variable x is of the form ax² + bx + c = 0, where a, b, c are real numbers a ≠ o.

If we can factorise ax² + bx + c, a ≠ 0 into product of two linear factors then roots can be found by equating each factor to zero

A real number R is said to be a root of the quadratic equation ax² + bx + c = 0 if a(R)² + bR + c = 0.

All the above

Question 2 of 25

3. For what value(s) of k will the equation kx²-5x+k=0 have a repeated root?

5/2

3/2

-5/2

±5/2

Question 3 of 25

4. What are the two consecutive even integers whose squares have sum 340?

12 and 10

–12 and –14

12 and 14

Both (B) and (C)

Question 4 of 25

5. If x = 1 is a common root of the equation x² + ax – 3 = 0 and bx² – 7x + 2 = 0 then ab =

-3

Question 5 of 25

6. Find the two consecutive odd positive integers, sum of whose square is 290.

9, 11

13, 15

11, 13

15, 17

Question 6 of 25

7. The equation 4x² = 4x has following solution/solutions.

0, 1

1, -1

-1, 0

Question 7 of 25

8. The sum of a number and it’s reciprocal is 5.2. The numbers is / are:

-5, 1/5

5, 1/5

-5

-1/5, 1

Question 8 of 25

9. Reduction of a rupee in the price of onion makes the possibility of buying one more kg of onion for Rs.56. Find the original price of the onion per kg?

7,-8

Question 9 of 25

10. If the value of the Discriminant function of a quadratic equation is D = 27, then its roots are

Distinct, Irrational

Same, Rational

Distinct, Rational

Same Irrational

Question 10 of 25

11. Which of the following equations has 2 as a root?

3x² – 6x – 2 = 0

x² – 4x + 5 = 0

x² + 3x – 12 = 0

2x² – 7x + 6 = 0

Question 11 of 25

12. The solution of

2, 4

-4, 2

-2, 4

-2, -4

Question 12 of 25

13. The roots of the equation x² – √3x – x + √3 = 0 are :

– √3, -1

– √3, 1

√3, -1

√3, 1

Question 13 of 25

14. The solution of (2x + 1) (x – 5) = 3 is ____

a. None of the above

b.

Question 14 of 25

15. The solutions of the quadratic equation

are

x = 2 and x = -5

x = -2 and x = -5

x = 1 and x = 2

x = 1 and x = -2

Question 15 of 25

16. The solution of 5z² = 3z is

0, -3/5

3/5

0, 3/5

Question 16 of 25

17. If b² – 4ac = 0 then The roots of the Quadratic equation ax² + bx + c = 0 are given by :

Question 17 of 25

18. The solutions of the equation: x² + 2x – 143 = 0

-13, -11

-13, 11

-11, 13

11, 13

Question 18 of 25

19. One of the roots of the quadratic equation 6x² – x – 2 = 0 is:

-1

-1/2

1/2

-2/3

Question 19 of 25

20. If I had walked 1km/hr faster , I would have taken 15 minutes less to walk 3km.Find the rate at which I was walking.

could be either 3 or -4

-4

Neither

Question 20 of 25

21. Write the general form of a quadratic polynomial

ax² + bx + c where a, b and c are real numbers and a is not equal to zero.

ax² + bx + c or bx + ax²+ c or c+ bx + ax²

ax² + bx + c where a, b and c are real numbers

ax² + bx + c=0

Question 21 of 25

22. If -3 is a root of both the Quadratic equations 2x² + px – 15 = 0, and p(x² + x) + q = 0, then the value of q if the equation containing it has equal roots is.

1/2

1/4

Question 22 of 25

23. If 1 is a root of the equations ay² + ay + 3 = 0 and y² + y + b = 0, then ab

-3

-7/2

Question 23 of 25

24. The equation 4x² + 3x + 5 = 0

Question 24 of 25

25. The difference of a number and its reciprocal is 1.5. Then, the number is/are:

1/2 and -2

-2, 2

-2, 1/2

2 and 1/2 or -1/2 and -2

Question 25 of 25