Class 10, Quadratic Equations, CBSE Online Test Paper (Set – I)

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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

Question 1 of 30

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

Question 2 of 30

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

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:

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?

Question 5 of 30

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

Question 6 of 30

7.

If 1 is a root of the equation x2 + kx -2 =0, then the other root of the quadratic equation is

Question 7 of 30

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

Question 8 of 30

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

Question 9 of 30

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

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

Question 11 of 30

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

Question 12 of 30

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

Question 13 of 30

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

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:

Question 15 of 30

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

Question 16 of 30

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

Question 17 of 30

18. Which of the following is a quadratic equation?

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Question 18 of 30

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

Question 19 of 30

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

Question 20 of 30

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

Question 21 of 30

22. Solve 9x2= 36

Question 22 of 30

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

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Question 23 of 30

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

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.

Question 25 of 30

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

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

Question 27 of 30

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

Question 28 of 30

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

Question 29 of 30

30. The solutions of the equation 8 are

Question 30 of 30

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