CGP Edu

Maths Straight Line Mix Single Correct MCQ

Published on: August 14, 2026

The lines 3x + 4y = 15 and 4x – 3y = – 36 intersect at P. The first line intersects x-axis at A and the second line intersects y-axis at B, then

The distance between orthocentre and circumcentre of the Δ PAB is 13/2

Circumcentre of the Δ PAB is (5/2, 6)

Diameter of the circle passing through P, A and B is 13

None of these

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

3x + 4y = 15 and

4x – 3y = 36 are perpendicular lines.

Δ APB is perpendicular triangle

circumcenter is mid point of AB so it is (5/2, 6)

and CA = CB = CP = = as Δ OAB is also perpendicular triangle since P is the orthocentre as APB is right angle triangle. so CP = 13/2.

Note : Centroid divide CA in 1 : 2, so we can find centroid also.

Previous Question Next Question

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

Share your experience with this question and solution.

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

What students say about this solution

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