Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Line L has intercepts a and b on the coordinate axes, when the axes are rotated through a given angle keeping the origin fixed, the same line has intercepts p and q, then
A
a 2 + b 2 =p 2 + q 2
B
C
a 2 +p 2 =b 2 + q 2
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Equation of L is 
and its distance from the origin is 
Let the axis be rotated through an angle 
and let (X, y) be the new coordinates of any point P (x, y) in the plane, then new equation of L will be 
and its distance from the origin is 
As the origin is fixed, distance from origin will be same in both cases
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