JEE Main 2026 — Circle Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
If P is a point on the circle is a point on the straight line and is the perpendicular bisector of PQ, then 13 times the sum of abscissa of all such points P is .
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Show full solutionCorrect answer: 2
Correct answer
2
Step-by-step explanation
Mid point of PQ lies on
...(1)
Slope of PQ is
...(2)
eliminate from (1) and (2)
,
or
Sum of all possible values of abscissa of point P is
13 times sum of all possible values of abscissa of point P is 2.
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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.