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CGP EDU Academic Team
Published on: August 14, 2026
The chord of contact of tangents drawn from a point on the circle x 2 + y 2 = a 2 to the circle
x 2 + y 2 = b 2 touches the circle x 2 + y 2 = c 2 . Show that a, b, c are in G.P.
Text Solution
Verified by ExpertsThe correct answer is:
A
S 1 ≡ x 2 + y 2 = a 2
S 2 ≡ x 2 + y 2 = b 2
S 3 ≡ x 2 + y 2 = c 2
equation of 1 is ax cos θ + ay sin θ = b 2
1 is tangent to circle S 3
c = 
⇒ ca = b 2 Hence a,b,c are in G.P.
Hindi. S 1 ≡ x 2 + y 2 = a 2
S 2 ≡ x 2 + y 2 = b 2
S 3 ≡ x 2 + y 2 = c 2
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