Home Maths Straight Line JEE (Main) / AIEEE Problems Previous Years Two vertices of a triangle are (0, 2) and (4…
Maths Straight Line JEE (Main) / AIEEE Problems Previous Years Single Correct MCQ
Published on: August 14, 2026

Two vertices of a triangle are (0, 2) and (4, 3). If its orthocentre is at the origin, then its third vertex lies in which quadrant ?

A
third
B
second
C
first
D
fourth

Share this question

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

Text Solution

Verified by Experts
The correct answer is:
B

Sol.

Since H is orthocentre of Δ ABC

then C is also orthocentre of Δ AHB

equation of line AC is

4x + 3y = 6 ...............(i)

equation of line BC is

y = 3 ...............(ii)

on solving (i) and (ii)

x = , y = 3

⇒ point lies in 2 nd quadrant

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

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.