(D) The given vertices are $A(0,0)$,$B(0, \frac{3}{2})$,and $C(-5,0)$.Since $A$ is at the origin $(0,0)$,$AB$ lies on the $y$-axis and $AC$ lies on th

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(D) The given vertices are $A(0,0)$,$B(0, \frac{3}{2})$,and $C(-5,0)$.Since $A$ is at the origin $(0,0)$,$AB$ lies on the $y$-axis and $AC$ lies on the $x$-axis.This means the triangle is a right-angled triangle with the right angle at vertex $A(0,0)$.In a right-angled triangle,the orthocentre is the vertex where the right angle is located.Therefore,the orthocentre of $\triangle ABC$ is $(0,0)$.

Class 11 Mathematics Straight Lines Points related to triangle

Medium

The orthocentre of the triangle with vertices $A(0,0)$,$B(0, \frac{3}{2})$,and $C(-5,0)$ is

KCET 2007 All KCET

A
$\left(\frac{5}{2}, \frac{3}{4}\right)$
B
$\left(-\frac{5}{2}, \frac{3}{4}\right)$
C
$\left(-5, \frac{3}{2}\right)$
D
$(0,0)$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Straight Lines

Subtopic

Points related to triangle

Previous Year

KCET 2007 Paper All KCET years →

The circumcenter of the triangle formed by the lines $y = x$,$y = 2x$,and $y = 3x + 4$ is

Medium

View Solution

Let $k$ be an integer such that the triangle with vertices $(k, -3k)$,$(5, k)$,and $(-k, 2)$ has an area of $28$ sq. units. Then the orthocentre of this triangle is at the point:

DifficultJEE MAIN 2017

View Solution

The orthocentre of a $\Delta ABC$ is $B$ and the circumcentre is $S(a, b)$. If $A$ is the origin,then the coordinates of $C$ are-

View Solution

If the line $bx + ay = 3ab$ intersects the coordinate axes at points $A$ and $B$,then the centroid of $\Delta OAB$ is:

Medium

View Solution

If the orthocenter of a triangle is $(1, 1)$ and the circumcenter is $\left( \frac{3}{2}, \frac{3}{4} \right)$,find its centroid.

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The orthocentre of the triangle with vertices $A(0,0)$,$B(0, \frac{3}{2})$,and $C(-5,0)$ is

Similar Questions

The circumcenter of the triangle formed by the lines $y = x$,$y = 2x$,and $y = 3x + 4$ is

Let $k$ be an integer such that the triangle with vertices $(k, -3k)$,$(5, k)$,and $(-k, 2)$ has an area of $28$ sq. units. Then the orthocentre of this triangle is at the point:

The orthocentre of a $\Delta ABC$ is $B$ and the circumcentre is $S(a, b)$. If $A$ is the origin,then the coordinates of $C$ are-

If the line $bx + ay = 3ab$ intersects the coordinate axes at points $A$ and $B$,then the centroid of $\Delta OAB$ is:

If the orthocenter of a triangle is $(1, 1)$ and the circumcenter is $\left( \frac{3}{2}, \frac{3}{4} \right)$,find its centroid.

Vedclass Test Series

Exam Paper Generator

Online Exam Module