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If $2 x^{2} - 5 x y + 2 y^{2} = 0$ represents two sides of a triangle and centriod of the triangle is (2, 3) then midpoint of third side is

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(3, 2)

(3, -2)

(3, 9/2)

(9/2 , 3)

answer is C.

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Detailed Solution

Given Equation $2 x^{2} - 5 x y + 2 y^{2} = 0$

And centriod G=(2, 3)

Mid point of Third side

$\begin{array}{l} = \frac{3}{2} G \\ = \frac{3}{2} (2, 3) \\ = (3, \frac{9}{2}) \end{array}$

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