Question

The equation of the tangent drawn to the curve y = (x + 1)³ from the origin is

(A) y = 3x

(B) y = − 3x

(C) 4y = 27x

(D) y = 0 

Answer 1

Answer is (C), (D)

See Fig. Note: Curve is not passing through origin.

Let (α, β) be the point of contact. Then

Also (α, β) lies on the curve. Therefore,

Therefore, equation of tangent is

y = 0

or  y = (27/4)x