Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The common chord of x 2 + y 2 – 4x – 4y = 0 and x 2 + y 2 = 16 subtends at the origin an angle equal to
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
The equation of the common chord of the circles x 2 + y 2 – 4x – 4y = 0 and x 2 + y 2 = 16 is x + y = 4
which meets the circle x 2 + y 2 = 16 at points A(4, 0) and B(0, 4). Obviously OA ⊥ ⊥ OB, where O is the origin.
Hence the common chord AB makes a right angle at the centre of the circle x 2 + y 2 = 16
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