Line L has intercepts a and b on the co-ordinate axes. When… | CGP Edu

Maths Straight Line Foot of Perpendicular, Transformation, Pedal Points, Image of A Point Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Line L has intercepts a and b on the co-ordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts p and q , then

A

B

C

D

Text Solution

Verified by Experts

The correct answer is:

Suppose we rotate the coordinate axes in the anti clockwise direction through an angle . The equation of the line L with respect to old axes is . In this question replacing x by and by , the equation of the line with respect to new axes is

⇒ ⇒ .....(i)

The intercepts made by (i) on the co-ordinate axes are given as p and q .

Therefore and

Squaring and adding, we get .

Previous Question Next Question

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

A line passes through (2, 2) and is perpendicular to the line . Its y -intercept is

The reflection of the point (4, –13) in the line is

The image of a point in the line , is

The coordinates of the foot of perpendicular drawn from (2, 4) to the line is

The image of the point (3, 8) in the line x + 3y = 7 is

If a, b, c are in A.P, then ax + by + c = 0 represents

CG

CGP Question Assistant Question Bank + AI Help

Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.

Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.