Below you will find MCQ Questions of Chapter 4 Quadratic Equations Class 10 Maths that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 10 MCQ Questions with answers will widen your skills and understand concepts in a better manner.
MCQ Questions for Class 10 Maths Chapter 2 Pair of Linear Equations in Two Variables with Answers
1. If n is a non negative integer, then a^{n}x^{n} +…+ a_{1} x + a_{0} is a
(a) polynomial of degree 2
(b) polynomial of degree 0
(c) polynomial of degree 3
(d) polynomial of degree n
► (d) polynomial of degree n
2. What are the two consecutive even integers whose squares have sum 340?
(a) 12 and 10
(b) –12 and –14
(c) 12 and 14
(d) Both (b) and (c)
► (d) Both (b) and (c)
3. The length of a hypotenuse of a right triangle exceeds the length of its base by 2 cm and exceeds twice the length of the altitude by 1 cm. Find the length of each side of the triangle (in cm) :
(a) 6, 8, 10
(b) 7, 24, 25
(c) 8, 15, 17
(d) 7, 40, 41
► (c) 8, 15, 17
4. The roots of x^{2} – 8x + 12 = 0, are
(a) x = 0
(b) no real roots
(c) real and unequal
(d) real and equal
► (c) real and unequal
5. Which of the following equations has the sum of its roots as 3?
(a) 3x^{2}-3x+3 = 0
(b) 2x^{2}-3x+6 = 0
(c) -x^{2}+3x-3 = 0
(d) x^{2}+5x+6 = 0
► (c) -x^{2}+3x-3 = 0
6. If the equation (3x)^{2} + (27 × 3^{1/k} – 15) x + 4 = 0 has equal roots, then k =
(a) – 2
(b) -1/2
(c) 1/2
(d) 0
► (b) -1/2
7. The solution of 5z^{2} = 3z is
(a) 0, 3/5
(b) 0, -3/5
(c) 3/5
(d) 0
► (a) 0, 3/5
8. Determine k such that the quadratic equation x^{2} + 7(3 + 2k) – 2x (1 + 3k) = 0 has equal roots :
(a) 2, 7
(b) 7, 5
(c) 2, -10/9
(d) None of these
► (c) 2, -10/9
9. The condition for equation ax^{2} + bx + c = 0 to be quadratic is
(a) a < 0
(b) a ≠ 0
(c) a ≠ 0, b ≠ 0
(d) a > 0
► (b) a ≠ 0
10. Which of the following equations has 2 as a root?
(a) x^{2} - 4x + 5 = 0
(b) x^{2} + 3x - 12 = 0
(c) 2x^{2} - 7x + 6 = 0
(d) 3x^{2} - 6x - 2 = 0
► (c) 2x^{2} - 7x + 6 = 0
11. Find the two consecutive odd positive integers, sum of whose square is 290
(a) 15, 17
(b) 9, 11
(c) 13, 15
(d) 11, 13
► (d) 11, 13
12. If the area of a rectangle is 24 m^{2} and its perimeter is 20 m, the equation to find its length and breadth would be:
(a) x^{2} – 10x + 24 = 0
(b) x^{2} + 1 2x + 24 = 0
(c) x^{2} – 10x – 24 = 0
(d) x^{2} + 10x + 28 = 0
► (a) x^{2} – 10x + 24 = 0
13. The equation x^{2} – px + q = 0 p, q ε R has no real roots if :
(a) p^{2} > 4q
(b) p^{2} < 4q
(c) p^{2} = 4q
(d) None of these
► (b) p^{2} < 4q
14. Write the general form of a quadratic polynomial
(a) ax^{2} + bx + c where a, b and c are real numbers
(b) ax^{2} + bx + c = 0
(c) ax^{2} + bx + c where a, b and c are real numbers and a is not equal to zero.
(d) ax^{2} + bx + c or bx + ax^{2} + c or c+ bx + ax^{2}
► (c) ax^{2} + bx + c where a, b and c are real numbers and a is not equal to zero.
15. Which of the following quadratic expression can be expressed as a product of real linear factors?
(a) x^{2} – 2x + 3
(b) 3x^{2} – √2x – √3
(c) √2x^{2} – √5x + 3
(d) None of these
► (b) 3x^{2} – √2x – √3
16. The two positive numbers differ by 5 and square of their sum is 169 are
(a) 2,4
(b) 5,6
(c) 4,9
(d) 3,7
► (c) 4,9
17. -3 is a root of the quadratic equation 2x^{2} +px – 15 = 0. For what value of q, the equation p(x^{2} + x ) + q = 0 has equal roots?
(a) 1/4
(b) 2
(c) 14
(d) 1/2
► (a) 1/4
18. Comment on the nature of the roots of the equation 7x - 3x^{2} - 2 = 0
(a) Real and distinct roots
(b) Real and equal roots
(c) Imaginary roots
(d) None of the these
► (a) Real and distinct roots
19. If ax^{2} + bx + c, a ≠ 0 is factorizable into product of two linear factors, then roots of ax^{2} + bx + c = 0 can be found by equating each factor to
(a) 2
(b) -1
(c) 0
(d) 1
► (c) 0
20. The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m^{2}. Which of the following quadratic equations represents the given situation:
(a) x^{2}+2x- 528 = 0
(b) 2x^{2}+x- 528 = 0
(c) 2x^{2}+x+ 528 = 0
(d) x^{2}+x- 528 = 0
► (b) 2x^{2}+x- 528 = 0
21. The real values of a for which the quadratic equation 2x^{2} – (a^{3} + 8a – 1) x + a^{2} – 4a = 0 possesses roots of opposite signs are given by :
(a) a > 6
(b) a > 9
(c) 0 < a < 4
(d) a < 0
► (c) 0 < a < 4
22. Discriminant of the equation – 3x^{2} + 2x – 8 = 0 is
(a) -92
(b) - 29
(c) 39
(d) 49
► (a) -92
23. Which of the following equations has 2 as a root?
(a) 2x^{2} – 7x + 6 = 0
(b) x^{2} + 3x – 12 = 0
(c) 3x^{2} – 6x – 2 = 0
(d) x^{2} – 4x + 5 = 0
► (a) 2x^{2} – 7x + 6 = 0
24. The sum of areas of two squares is 468m^{2}. If the difference of their perimeters is 24m, then the sides of the two squares are:
(a) 12m and 18m
(b) 24m and 28
(c) 6m and 12m
(d) 18m and 24m
► (a) 12m and 18m
Hope the given MCQ Questions will help you in cracking exams with good marks. These Quadratic Equations MCQ Questions will help you in practising more and more questions in less time.