JEE Main 2021 — Hyperbola Question with Solution
From: JEE Main 2021 (Online) 25th July Morning Shift
Question
The locus of the centroid of the triangle formed by any point P on the hyperbola , and its foci is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Given hyperbola is
Eccentricity,
foci are (4, 2) and (6, 2)
Let the centroid be (h, k) & A(, ) be point on hyperbola.
So,
(, ) lies on hyperbola so
Eccentricity,
foci are (4, 2) and (6, 2)
Let the centroid be (h, k) & A(, ) be point on hyperbola.
So,
(, ) lies on hyperbola so
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