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CGP EDU Academic Team
Published on: August 13, 2026
If p 1 and p 2 are the perpendiculars from the origin to the lines x sec α + y cosec α = a and xcos α – ysin α = acos2 α . Prove that 4p 1 2 + p 2 2 = a 2
Text Solution
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CHECK THE SOLUTION.
Sol. Applying the formula for distance of a line from a point, we get
p 1 = 
= a sin α cos α = 
p 2 = 
= acos2 α
∴ sin 2 2 α + cos 2 2 α = 
⇒ 
⇒ 4p 1 2 + p 2 2 = a 2
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