Home Maths Straight Line General A variable straight line passes through a fi…
Maths Straight Line General Single Correct MCQ
Published on: August 13, 2026

A variable straight line passes through a fixed point (a, b) intersecting the co − ordinates axes at A & B. If 'O' is the origin, then the locus of the centroid of the triangle OAB is :

A
bx + ay – 3xy = 0
B
bx + ay – 2xy = 0
C
ax + by – 3xy = 0
D
ax + by – 2xy = 0

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
A

equation of line AB AB

∴ G ⇒ h = , k =

on eleminating 'm' we get required locus

bh + ak – 3hk = 0 ⇒ bx + ay – 3xy = 0

──────────────────────────────────────────────────────────────────────────────────────────

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

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.