JEE Main 2019 — Circle Question with Solution
From: JEE Main 2019 (Online) 11th January Morning Slot
Question
The straight line x + 2y = 1 meets the coordinate axes at A and B. A circle is drawn through A, B and the origin. Then the sum of perpendicular distances from A and B on the tangent to the circle at the origin is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Equation of circle
(x 1) (x 0) + (y 0) (y ) = 0
x2 + y2 x = 0
Equation of tangent of region is 2x + y = 0
1 + 2 =
=
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This is a previous-year question from JEE Main 2019, covering the Circle 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.