Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The lines L 1 : x – 2y + 6 = 0 & 
: x – 2y – 9 = 0 are tangents to the same circle. If the point of contact of L 1 with the circle is (–2, 2), then :
A
Thecentre of the circle is (–7/2, 5)
B
Thecentre of the circle is (–1/2, – 1)
C
Area of the circle is 45 π /4 sq. Units
D
The point of contact of 
with the circle has the co-ordinates (–5, 8)
with the circle has the co-ordinates (–5, 8)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c)
slope of line = 
∴ diameter of circle
= 
, ∴ radius = 
∴ centre is h = – 2 ± 
cos θ , k = 2 ± 
sin θ
∴ slope of radius = – 2 ∴ sin θ = 
& cos θ = – 
Solve we get 
But 
lie between lines Now find area
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