JEE Main 2021 — Circle Question with Solution
From: JEE Main 2021 (Online) 27th August Morning Shift
Question
Let the equation x2 + y2 + px + (1 p)y + 5 = 0 represent circles of varying radius r (0, 5]. Then the number of elements in the set S = {q : q = p2 and q is an integer} is __________.
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Show full solutionCorrect answer: 2
Correct answer
2
Step-by-step explanation
Since,
So,
so, number of integral values of p2 is 61.
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This is a previous-year question from JEE Main 2021, 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.