Practice30 Create account

For $3 x^{2} - 2 k x + 12 = 0$ to have equal roots, find the two possible values of $k$ . Enter the positive value.

Class 10Discriminant and Nature of RootsAlgebra — Quadratics

A7
B12
C5
D6

Step-by-Step Solution

D = 0 : (- 2 k)^{2} - 4 (3) (12) = 0

, so

4 k^{2} = 144, k^{2} = 36, k = + / - 6

. Positive value is 6.

Answer: D) 6

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Discriminant and Nature of Roots practice questions

More Class 10 Discriminant and Nature of Roots practice

A teacher writes three equations on the board: A: x^2 - 2x + 1 = 0 B: x^2 - 2x - 1 = 0…Mohan claims that 2x^2 + 3x + 4 = 0 and 2x^2 + 3x - 4 = 0 both have no real roots. Is…The diagonal of a rectangular cricket field in Chennai is 13 m and the field models to…A water tank fills following x^2 + 12x + 36 = 0 when modelling a balance point. State…Kavya is told that x^2 + kx + 16 = 0 has equal roots. She finds two possible values of…