JEE Main 2021 — Circle Question with Solution
From: JEE Main 2021 (Online) 17th March Morning Shift
Question
Choose the incorrect statement about the two circles whose equations are given below :
x2 + y2 10x 10y + 41 = 0 and
x2 + y2 16x 10y + 80 = 0
x2 + y2 10x 10y + 41 = 0 and
x2 + y2 16x 10y + 80 = 0
Choose an option
Show full solutionCorrect option: D
Correct answer
DBoth circle's centers lie inside region of one another.
Step-by-step explanation
S1 x2 + y2 10x 10y + 41 = 0
Centre C1 (5, 5), radius r1 = 3
S2 x2 + y2 16x 10y + 80 = 0
Centre C2 (8, 5), radius r2 = 3
Distance between centres = 3
Hence both circles pass through the centre of each other, have two intersection point and distance between two centres in average of radii of both the circles.
Hence, option (d) is the incorrect statement.
Centre C1 (5, 5), radius r1 = 3
S2 x2 + y2 16x 10y + 80 = 0
Centre C2 (8, 5), radius r2 = 3
Distance between centres = 3
Hence both circles pass through the centre of each other, have two intersection point and distance between two centres in average of radii of both the circles.
Hence, option (d) is the incorrect statement.
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