JEE Main 2020 — Circle Question with Solution
From: JEE Main 2020 (Online) 4th September Evening Slot
Question
The circle passing through the intersection of the circles,
x2 + y2 – 6x = 0 and x2 + y2 – 4y = 0, having its centre on
the line, 2x – 3y + 12 = 0, also passes through the point :
x2 + y2 – 6x = 0 and x2 + y2 – 4y = 0, having its centre on
the line, 2x – 3y + 12 = 0, also passes through the point :
Choose an option
Show full solutionCorrect option: D
Correct answer
D(–3, 6)
Step-by-step explanation
Let S be the circle passing through point of intersection of S1 & S2
S = S1 + S2 = 0
....(1)
Centre lies on
put in
Now check options point
lies on S.
S = S1 + S2 = 0
....(1)
Centre lies on
put in
Now check options point
lies on S.
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This is a previous-year question from JEE Main 2020, 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.