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Maths Conic Sections Hyperbola Single Correct MCQ

Published on: August 14, 2026

If x = 9 is the chord of contact of the hyperbola x 2 - y 2 = 9, then the equation of the corresponding pair of tangents is

9x 2 - 8y 2 + 18x - 9 = 0

9x 2 - 8y 2 - 18x + 9 = 0

9x 2 - 8y 2 - 18x - 9 = 0

9x 2 - 8y 2 + 18x + 9 = 0

Text Solution

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The correct answer is:

If chord of contact of tangent meet at (h, k), then its equal is hx - ky - 9 = 0

Comparing it with x = 9, we get point of contact as (1, 0)

Using SS 1 = T 2 , the required equation is

(x 2 - y 2 - 9) (1 - 9) = (x - 9) 2

⇒ ⇒ 9x 2 - 8y 2 - 18x + 9 = 0.

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