JEE Main 2016 — Hyperbola Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
A hyperbola whose transverse axis is along the major axis of the conic, and has vertices at the foci of this conic. If the eccentricity of the hyperbola is then which of the following points does NOT lie on it?
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
= 1
e = =
Foci (0, 2) & (0, 2)
So, transverse axis of hyperbola
= 2b = 4
b = 2 & a2 = 12 (e2 1)
a2 = 4
a2 = 5
It's equation is = 1
The point (5, 2) does not satisfy the above equation.
e = =
Foci (0, 2) & (0, 2)
So, transverse axis of hyperbola
= 2b = 4
b = 2 & a2 = 12 (e2 1)
a2 = 4
a2 = 5
It's equation is = 1
The point (5, 2) does not satisfy the above equation.
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