JEE Main 2026 — Circle Question with Solution
JEE Main 2026 (21 January Shift 1)
Question
Let PQ and MN be two straight lines touching the circle at the points A and B respectively. Let O be the centre of the circle and . Then the locus of the point of intersection of the lines PQ and MN is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Circle: , center O = (2, 3), radius .
For tangents from external point P touching at A and B with :
In quadrilateral OAPB: , so .
In right triangle OAP: .
.
Locus: .
.
For tangents from external point P touching at A and B with :
In quadrilateral OAPB: , so .
In right triangle OAP: .
.
Locus: .
.
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This is a previous-year question from JEE Main 2026, 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.