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If $2 x^{2} - 5 x y + 2 y^{2} = 0$ represents two equal sides of an isosceles triangle and third side passing through
$(\frac{3}{2}, \frac{3}{2})$ then equation of third side is

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$x + y - 1 = 0$

$x + y - 6 = 0$

$x - y + 3 = 0$

$x + y - 3 = 0$

answer is C.

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Detailed Solution

${By Verification 3}^{r d} option x + y - 3 = 0 p a s s e s t h r o u g h t h e p o i n t (\frac{3}{2}, \frac{3}{2}) \Rightarrow \frac{3}{2} + \frac{3}{2} - 3 = 0 \Rightarrow 3 = 3$

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