JEE Main 2020 — Hyperbola Question with Solution
From: JEE Main 2020 (Online) 4th September Morning Slot
Question
Let P(3, 3) be a point on the hyperbola,
. If the normal to it at P intersects the x-axis at (9, 0) and e is its eccentricity, then the ordered pair (a2, e2) is equal to :
. If the normal to it at P intersects the x-axis at (9, 0) and e is its eccentricity, then the ordered pair (a2, e2) is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Given hyperbola,
Point P (3, 3) is on the parabola
...(1)
Equation of normal at (x1, y1),
Normal at p(3, 3),
... (2)
It intersect x-axis at (9, 0),
Putting in equation (2),
Also,
Putting the value of b2 in equation (1),
Point P (3, 3) is on the parabola
...(1)
Equation of normal at (x1, y1),
Normal at p(3, 3),
... (2)
It intersect x-axis at (9, 0),
Putting in equation (2),
Also,
Putting the value of b2 in equation (1),
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