JEE Main 2017 — Parabola Question with Solution
From: JEE Main 2017 (Online) 8th April Morning Slot
Question
If the common tangents to the parabola, x2 = 4y and the circle, x2 + y2 = 4 intersect at the point P, then the distance of P from the origin, is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B2(3 + 2 )
Step-by-step explanation
Tangent to x2 + y2 = 4 is
y = mx 2
Also, x2 = 4y
x2 = 4mx + 8
or x2 = 4mx 8
For D = 0
we have; 16m2 + 4.8 = 0
m2 + 2 = 0
m2 = 2
m4 = 4 + 4m2
m4 4m2 4 = 0
m2 =
m2 =
m2 = 2 + 2
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