JEE Main 2026 — Circle Question with Solution
JEE Main 2026 (22 January Shift 1)
Question
Let the set of all values of , for which the circles and intersect at two distinct points be the interval . Then is equal to
Choose an option
Show full solutionCorrect option: D
Correct answer
D25
Step-by-step explanation
Circle 1: center , radius .
Circle 2: , center , radius .
Distance .
For two intersection points: .
and .
, so , .
.
Circle 2: , center , radius .
Distance .
For two intersection points: .
and .
, so , .
.
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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.