CBSE Class 10 Quadratic Equations MCQs Set D. Multiple choice questions have become an integral part of the CBSE examination system. Almost all exams have a section for MCQs. Students are advised to refer to the attached MCQ database and practise them regularly. This will help them to identify their weak areas and will help them to score better in examination. Parents should download and give the MCQs to their children for practice.
1. Find the values of k for which the quadratic equation k2x2 – 2(k – 1)x + 4 = 0 has real and equal roots.
(a) k = 0 or k = 1/3
(b) k = 1 or k = 1/3
(c) k = –1 or k = 1/3
(d) k = –3 or k = 1/3
2. If –4 is a root of the equation x2 + px – 4 = 0 and the equation x2 + px + q = 0 has equal roots, find the value of p and q.
(a) p =3, q = 9 (b) p =9, q = 3
(c) p = 3, q = 4/9 (d) p = 3, q = 9/4
3. If the roots of the equation (a – b)x2 + (b – c)x + (c – a) = 0 are equal, then b + c =
(a) 2a (b) 2bc (c) 2c (d) none of these
4. Find the positive value of k for which the equations x2 + kx + 64 = 0 and x2 – 8x + k = 0 will have real roots.
(a) 8 (b) 16 (c) –8 (d) –16
7. Find the positive value of k for which the equation 2x2 + kx + 2 = 0 has real roots
(a) k >= 4 (b) k <=-4 (c) both (a) and (c) (d) none of these.
8. The sum of a number and its reciprocal is 10 3. Find the number.
(a) 3
(b) 1/3
(c) both (a) and (c)
(d) none of these
9. Divide 12 into two parts such that the sum of their squares is 74.
(a) 7 and 5 (b) 8 and 4 (c) 10 and 2 (d) none of these
10. The sum of the squares of two consecutive natural numbers is 421. Find the numbers.
(a) 14 and 5 (b) 14 and 15 (c) 10 and 5 (d) none of these
11. The sum of two numbers is 15 and the sum of their reciprocals is 3 10. Find the numbers.
(a) 14 and 5 (b) 14 and 15 (c) 10 and 5 (d) none of these
12. Divide 12 into two parts such that their product is 32.
(a) 7 and 5 (b) 8 and 4 (c) 10 and 2 (d) none of these
Please click the link below to download CBSE Class 10 Quadratic Equations MCQs Set D