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CGP EDU Academic Team
Published on: August 13, 2026
A light ray gets reflected from the line x = –2.If the reflected ray touches the circle x 2 + y 2 = 4 and point of incident is (–2, –4), then equation of incident ray is-
Text Solution
Verified by ExpertsThe correct answer is:
A
Any tangent of x 2 + y 2 = 4 is y = mx ± 2 
. If it passes through (–2, –4), then (2m – 4) 2 = 4 (1 + m 2 ) .
⇒ 4m 2 + 16 – 16m = 4 + 4m 2
⇒ m = ∞ , m = 
Also, m = ∞ as x = –2 is reflected ray. Hence slope of reflected ray is 
. Thus equation of incident ray is
(y + 4) = – 
(x + 2)
⇒ 4y + 3x + 22 = 0
Hence is the correct answer.
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