A tangent is drawn to the parabola y2 = 6x which is perpendicular to the line 2x + y = 1.

Question

A tangent is drawn to the parabola y2 = 6x which is perpendicular to the line 2x + y = 1. Which of the following points does NOT lie on it?

Accepted Answer

Equation of tangent : $$y = mx + {3 \over {2m}}$$

$${m_T} = {1 \over 2}$$ ($$\because$$ perpendicular to line $2x + y = 1$)

$$\therefore$$ tangent is : $$y = {x \over 2} + 3$$

$$ \Rightarrow x - 2y + 6 = 0$$

Solutions · 1