The value of m, for which the line y = mx + , is a normal …

Maths Conic Sections Conic Section - General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The value of m, for which the line y = mx + , is a normal to the conic = 1, is

–2/

Text Solution

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The correct answer is:

We know that the equation of the normal of the conic = 1 at point ( a sec θ θ , b tan θ θ ) is

Ax sec θ θ + bycot θ θ = a 2 + b 2 Or y = sin θ θ x +

Comparing above equation with equation y = mx + and taking a = 4, b = 3

We get, ⇒ ⇒ tan θ θ = ⇒ ⇒ θ θ = 60

0 And m = - sin θ θ = sin 60

0 = .

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