Home Maths Straight Line Mix The line L has intercepts a and b on the co-…
Maths Straight Line Mix Single Correct MCQ
Published on: August 13, 2026

The line L has intercepts a and b on the co-ordinate axes. Keeping the origin fixed, the co-ordinate axes are rotated through a fixed angle. The line L has now intercepts p and q on the rotated axes. Then

A
a 2 + b 2 = p 2 + q 2
B
1/a 2 + 1/b 2 = 1/p 2 +1/q 2
C
a 2 +p 2 = b 2 + q 2
D
1/a 2 + 1/p 2 = 1/b 2 + 1/q 2

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Text Solution

Verified by Experts
The correct answer is:
B

The equation of the line L is x/a + y/b = 1. . . . . . (1)

After the rotation of the axes, the line L has intercepts p and q on the new axes.

In this system equation of the line is x/p + y/q = 1.

Since the origin and the line, both are fixed, the distance between them remains the same.

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