JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Application +4 | -1

The coordinates of incentre of

\triangle A B C

, where

A(-3,-2), B(5,0)

and

C\left(-\frac{1}{3}, \frac{13}{3}\right)

are

View answer and explanation

Correct option: B

\left(\frac{1}{2}, 1\right)

Option B (

\left(\frac{{1}}{{2}}, 1\right)

) is correct because it represents the coordinates of the incenter of the triangle calculated using the given vertices.

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\alpha

(\alpha, 2 \alpha)

\Delta A B C

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

C(4,4)

P

2 P A=3 P B

A

(0,0)

B

(4,-3)

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

(2,0)

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

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

=0

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

(0,0)(3,0)

(0,4)