Question

If f(x) = {(√(1 + kx) - √(1 - kx))/x, for - 1≤ x < 0), (2x² + 3x - 2, for 0 ≤ x ≤ 1) is continuous at x = 0, then k =

(A) -4

(B) -3

(C) -2

(D) -1

Answer 1

Answer is (C) -2

Since it is continuous,

L.H.L. = R.H.L. ⇒ k = -2