JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Easy

1 of 1

Application +4 | -1

If the circumcentre of the triangle formed by the points

(0,0),(2,-1)

and

(-1,3)

is at

\left(\frac{5}{2}, \frac{5}{2}\right)

, then the coordinates of its orthcentre are

View answer and explanation

Correct option: A

(-4,-3)

Option A (-4, -3) is correct because using the centroid and circumcenter coordinates, we can find the orthocenter coordinates using the property that the centroid divides the line joining the orthocenter and circumcenter in the ratio 2:1.

More Questions from 2D GEOMETRY SYSTEM

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Values of

\alpha

(\alpha, 2 \alpha)

lies inside the

\Delta A B C

A(0,2), B(2,0)

and

C(4,4)

The locus of the moving point

P

, such that

2 P A=3 P B

where

A

(0,0)

and

B

(4,-3)

, is The incentre of the triangle with vertices

(1, \sqrt{3}),(0,0)

and

(2,0)

is The triangle with vertex

(1,5),(-3,1) \,\&\,(-2,1)

is The area of the quadrilateral with its vertices at the foci of the conics

9 x^2-16 y^2-18 x+32 y-23

=0

and

25 x^2+9 y^2-50 x-18 y+33=0

, is Orthocentre of the triangle whose vertices are

(0,0)(3,0)

and

(0,4)