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CGP EDU Academic Team
Published on: August 14, 2026
The possible number of values of a for which the common chord of the circles x 2 + y 2 = 8 and (x -a) +y 2 = 8 subtends a right angle at the origin is
Text Solution
Verified by ExpertsThe correct answer is:
B
2
Equation of the common chord is (x - a) +y 2 - 8 - x 2 - y 2 + 8 = 0
-2ax + a 2 = 0 
If the chord 
subtends a right angle at (0,0) then the distance of 
from the origin is equal to 
cos 45° = 2
- a = 4 or -4
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