JEE Main 2022 — Ellipse Question with Solution
From: JEE Main 2022 (Online) 24th June Morning Shift
Question
If two tangents drawn from a point (, ) lying on the ellipse 25x2 + 4y2 = 1 to the parabola y2 = 4x are such that the slope of one tangent is four times the other, then the value of (10 + 5)2 + (162 + 50)2 equals ___________.
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Show full solutionCorrect answer: 2929
Correct answer
2929
Step-by-step explanation
lies on the given ellipse,
Tangent to the parabola, passes through . So, has roots and ,
Gives that
from (i) and (ii)
Now,
from equation (iii)
Tangent to the parabola, passes through . So, has roots and ,
Gives that
from (i) and (ii)
Now,
from equation (iii)
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