Chapter 4 Quadratic Equations- MCQ Online Test 3 Class 10 Maths

1. If the quadratic equation kx (x – 2) + 6 = 0 has equal roots, then find the value of ‘k’?
a. 5
b. 6
c. 3
d. 4
2. Find the discriminant of the quadratic equation 3√3 x² + 10x + √3 = 0?
a. 64
b. 85
c. 25
d. 43
3. The smallest value of ‘k’ for which the quadratic equation x²+kx+9 = 0 has real roots?
a. 6
b. -6
c. 2
d. -8
4. Find the ratio of sum and the product of the roots of 7x² −12x + 18 = 0?
a. 5:6
b. 2:3
c. 1:2
d. 6:8
5. Find the quadratic equation whose one root is 3 and the sum of the roots is zero?
a. x² + 9 = 0
b. x² − 5 = 0
c. x² − 3 = 0
d. x² − 9 = 0
6. If y = 1 is the common root of ly² + ly + 3 = 0 and y² + y +m = 0, then find the value of ‘lm’?
a. 4
b. 3
c. 5
d. 8
7. If the sum and product of the roots of the equation k x²+6x+4k = 0 are equal, then find the value of k?
a.
b.
c.
d.
8. If ‘a’ and ‘b’ are the roots of the equation x²+ax +b = 0, find the value of a + b?
a. −2a
b. −b
c. −a
d. 2a
9. If one root of the equation 4x²−2x + (λ−4) = 0 be the reciprocal of the other, then the value of λ?
a. -4
b. 5
c. 8
d. 10
10. (x+2)³ = 2x (x² −1) is a
a. Linear equation
b. Cubic equation
c. Quadratic equation
d. None of these