JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Application +4 | -1

If the vertices

A, B

and

C

of a triangle are

(2,1),(5,2)

and

(3,4)

, respectively. Then, the circumcentre is

View answer and explanation

Correct option: C

\left(\frac{13}{4}, \frac{9}{4}\right)

Option C ((13/4, 9/4)) is correct because the circumcenter is equidistant from all vertices, and solving the equations PA²=PB² and PB²=PC² gives the correct coordinates.

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)