JEE Main 2019 — Circle Question with Solution
From: JEE Main 2019 (Online) 12th January Morning Slot
Question
If a variable line, 3x + 4y – = 0 is such that the two circles x2 + y2 – 2x – 2y + 1 = 0 and x2 + y2 – 18x – 2y + 78 = 0 are on its opposite sides, then the set of all values of is the interval :
Choose an option
Show full solutionCorrect option: D
Correct answer
D[12, 21]
Step-by-step explanation
Centre of circles are opposite side of line
(3 + 4 ) (27 + 4 ) < 0
( 7) ( 31) < 0
(7, 31)
distance from S1
distance from S2
so
(3 + 4 ) (27 + 4 ) < 0
( 7) ( 31) < 0
(7, 31)
distance from S1
distance from S2
so
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This is a previous-year question from JEE Main 2019, 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.