JEE MATHEMATICS MCQ: SYSTEM OF CIRCLES

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Application +4 | -1

The point from which the tangents to the circles

x^2+y^2-8 x+40=0

5 x^2+5 y^2-25 x+80=0

x^2+y^2-8 x+16 y+160=0

are equal in length, is

View answer and explanation

Correct option: C

(8,-15 / 2)

Option C (

(8,-15 / 2)

) is correct because it represents the radical center of the three circles, where the lengths of tangents from that point to each circle are equal.

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