JEE Main 2020 — Hyperbola Question with Solution
From: JEE Main 2020 (Online) 5th September Evening Slot
Question
If the line y = mx + c is a common tangent to
the hyperbola
and the circle x2 + y2 = 36, then which one of the following is true?
and the circle x2 + y2 = 36, then which one of the following is true?
Choose an option
Show full solutionCorrect option: D
Correct answer
D4c2 = 369
Step-by-step explanation
c =
c =
General tangent to hyperbola in slope form is
y = mx
This tangent is also tangent to the circle x2 + y2 = 36, whose center (0, 0) and radius = 6.
Distance of the tangent from the center is
= 6
100m2 — 64 = 36m2 + 36
64m2 = 100
m =
c2 = 100 - 64
c2 =
c2 =
4c2 = 369
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