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  4. If the sum of the slopes of the lines 4 x2+2 h x y-y2=0 is equal to the product, then h is

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Q. If the sum of the slopes of the lines $4 x^{2}+2 h x y-y^{2}=0$ is equal to the product, then $h$ is

KCETKCET 2022

Solution:

$m_{1}+m_{2}=m_{1} m_{2}$
$\Rightarrow \frac{-2 h}{b}=\frac{a}{b} $
$\Rightarrow \frac{-2 h}{-1}=\frac{4}{-1} $
$\Rightarrow h=-2$