MCQ Class 10 Quadratic Equations Set IV

1. There will be total 15  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. 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

Your comments:

Question 1 of 15

2. Comment on the nature of the roots of the equation 7x - 3x² -2 = 0

Real and distinct roots

Real and equal roots

Imaginary roots

None of the above

Your comments:

Question 2 of 15

3. 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?

24

12

-25

25

Your comments:

Question 3 of 15

4. 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 4 of 15

5. The roots of the equation x² - 3x - m (m + 3) = 0, where m is a constant, are

–m, m + 3

m, - (m+3)

m, m + 3

–m, - (m + 3)

Your comments:

Question 5 of 15

6. If the equation 2x² + 2(c-20)x + (c-20) = 0 has equal roots then, the value of c is

20, 22

22, 24

22

20

Your comments:

Question 6 of 15

7. If the equation 9x² – 6x + c = 0 has equal roots then, the value of c is

9

5

1

0

Your comments:

Question 7 of 15

8. Ruhi’s mother is 26 years older than her. The product of their ages (in years) 3 years from now will be 360. Form a Quadratic equation so as to find Ruhi’s age

x² -32 x - 273=0

x² + 32 x – 273 = 0

x² - 32 x +273 = 0

x² + 32 x + 273 = 0

Your comments:

Question 8 of 15

9. If x² + 2 kx + 4 = 0 has a root x = 2, then the value of k is?

2

-2

-4

-1

Your comments:

Question 9 of 15

10. Identify the constant that must be added to make  the binomial a perfect square: x² – 14x

(14)²

(-14 / 2)²

(7 / 2)²

(-14)²

Your comments:

Question 10 of 15

11. If the area of a rectangle is 24 m² and its perimeter is 20 m, the equation to find its length and breadth would be:

x² + 1 2x + 24 = 0

x² - 10x - 24 = 0

x² - 10x + 24 = 0

x² + 10x + 28 = 0

Your comments:

Question 11 of 15

12. 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

Neither

-4

3

Your comments:

Question 12 of 15

13. The roots of the quadratic equation √3x² - 2√2x - 2√3 = 0 are :

A

B

C

D

Your comments:

Question 13 of 15

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

1, -1

1

0, 1

-1, 0

Your comments:

Question 14 of 15

15. The roots of x² - 8x + 12 = 0, are

real and equal

x = 0

real and unequal

no real roots

Your comments:

Question 15 of 15

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