JEE Main 2018 — Circle Question with Solution
From: JEE Main 2018 (Online) 15th April Evening Slot
Question
The tangent to the circle C1 : x2 + y2 2x 1 = 0 at the point (2, 1) cuts off a chord of length 4 from a circle C2 whose center is (3, 2). The radius of C2 is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Here, equation of tangent on C1 at (2, 1) is :
2x + y (x + 2) 1 = 0
Or x + y = 3
If it cuts off the chord of the circle C2 then the equation of the chord is :
x + y = 3
distance of the chord from (3, 2) is :
d = =
Also, length of the chord is = 4
radius of C2 = r =
=
2x + y (x + 2) 1 = 0
Or x + y = 3
If it cuts off the chord of the circle C2 then the equation of the chord is :
x + y = 3
distance of the chord from (3, 2) is :
d = =
Also, length of the chord is = 4
radius of C2 = r =
=
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