Question Paper
Class / Subject: Class 10 (CBSE) · Mathematics
Chapter: Chapter 4 — Chapter 4: Quadratic Equations
Time Allowed: 15 minutes
Max Marks: 6
1. Factorising x²-5x+6 gives: [1]
(A) (x-2)(x-3)
(B) (x-1)(x-6)
(C) (x+2)(x+3)
(D) (x-6)(x+1)
2. Solve by factorisation: x²-7x+12=0. The solutions are: [1]
(A) x=3, x=4
(B) x=2, x=6
(C) x=1, x=12
(D) x=-3, x=-4
3. To factorise x²+bx+c, we look for two numbers that: [1]
(A) multiply to c and add to b
(B) multiply to b and add to c
(C) subtract to give c
(D) divide to give b
4. If the discriminant is negative, the quadratic equation has: [1]
(A) no real roots
(B) two real roots
(C) exactly one real root
(D) infinite roots
5. Find the discriminant of 2x²+3x-5=0: [1]
(A) 49 (positive, two real roots)
(B) -49
(C) 0
(D) 9
6. The quadratic formula is: [1]
(A) x = [-b ± √(b²-4ac)] / 2a
(B) x = -b/2a
(C) x = b²-4ac
(D) x = [-b ± √(b²+4ac)] / 2a