JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Easy

1 of 1

Application +4 | -1

If a vertex of a triangle is

(1,1)

and the mid-points of two sides through this vertex are

(-1,2)

and

(3,2)

, then the centroid of the triangle, is

View answer and explanation

Correct option: B

\left(1, \frac{7}{3}\right)

Option B (1, 7/3) is correct because by finding the coordinates of the other two vertices using the midpoint formula, we can calculate the centroid.

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\alpha

(\alpha, 2 \alpha)

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P

2 P A=3 P B

A

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B

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

(2,0)

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

=0

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

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