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CGP EDU Academic Team
Published on: August 13, 2026
(i) Find the equation of tangent of the circle x 2 + y 2 = 4 which is inclined at an angle 60º with x-axis
(ii) Find the length of tangent drawn from (1, 2) to the circle 2x 2 + 2y 2 + 2x + 4y – 10 = 0.
Text Solution
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(i) Circle x 2 + y 2 = 4
r = 2
slope of tangents
m = tan60º = 
Now equation of tangent
y = mx ± r 
y = 
x ± 2 
y = 
x ± 4
(ii) Circle 2x 2 + 2y 2 + 2x + 4y – 10 = 0
⇒ x 2 + y 2 + x + 2y – 5 = 0
length of tangent = 
= 
= 
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