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

Question

A tangent is drawn to the parabola y 2 = 6 x which is perpendicular to the line 2 x + y = 1 . Which of the following points does NOT lie on it?, 0 , 3, 4 , 5, 5 , 4, - 6 , 0

MARKS App · Accepted Answer

Slope of tangent = m T = m So, m - 2 = - 1 ⇒ m = 1 2 Equation: y = m x + a m ⇒ y = 1 2 x + 3 2 × 1 2 ∵ a = 6 4 = 3 2 ⇒ y = x 2 + 3 ⇒ 2 y = x + 6 Point 5 , 4 will not lie on it

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