1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Equations to the sides of a triangle are xâˆ’3y=0, 4x+3y=5 and 3x+y=0. The line 3xâˆ’4y=0 passes through the

A

incentre

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B

circumcentre

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C

centroid

No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D

orthocentre of the triangle

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is D orthocentre of the triangle Sides x−3y=0 and 3x+y=0 of the triangle are perpendicular to each other. Hence, the triangle is right angled at origin, which is the point of intersection of these sides. This implies that the origin is the orthocentre of the triangle and the line 3x−4y=0 passes which passes through the origin, passes through the orthocentre of the triangle.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Capillary Effect
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program