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?

a. (0,3)

b. (-6,0)

c. (4,5)

d. (5,4)

Answer: (d)

Equation of tangent : y = mx + 3/(2m)

mT = (1/2) (Because perpendicular to line 2x + y = 1)

Therefore, tangent is: y = x/2 + 3 ⇒ x – 2y + 6 = 0

Point (5, 4) will not lie on it.

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