Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the straight line 
touches the circle 
and is normal to the circle 
, then the values of a and b are respectively
A
1, –1
B
1, 2
C
D
2, 1
Text Solution
Verified by ExpertsThe correct answer is:
C
Given, 
∴ ∴ Centre is (1, 0) and radius is 2 and 
∴ ∴ Centre is (0, 2) and radius is 
.
Since line 
touches the first circle
∴ ∴ 
or 
.....(i)
Also the given line is normal to the second circle. Hence it will pass through the centre of the second circle.
∴ ∴ 
or 
or 
Putting this value in equation (i) we get
or 
or 
or 
or 
or 
Values of a and b are 
respectively according to the given choices.
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