JEE Main 2019 — Parabola Question with Solution
From: JEE Main 2019 (Online) 10th April Evening Slot
Question
If the line ax + y = c, touches both the curves x2
+ y2
= 1 and y2
= 4x , then |c| is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Tangent to the curve y2 = 4x is y = mx +
It is tangent to the circle x2 + y2 = 1
tangent are y = x + & y = – x –
Compare with y = – ax + c
&
It is tangent to the circle x2 + y2 = 1
tangent are y = x + & y = – x –
Compare with y = – ax + c
&
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This is a previous-year question from JEE Main 2019, covering the Parabola chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.