Question

solve
find value of c
hint :- consider slope as m and 4m
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Answer 1

$x^{2} -2cxy -7y^{2} = (x+ay)(x+by)$

$= x^{2} + xy( a + b ) + aby^{2}$

/* Compare bothsides ,we get */

$ab = -7 \: --(1)$

$a + b = -2c$

/* Divide both sides by (-ab) , we get */

$\frac{(a+b)}{-ab} = \frac{-2c }{(-ab)}$

$\implies -(-2c) = 4$

$\implies c = 2$

Therefore.,

$Option \: \pink { ( c ) } \:is \: correct$

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Answer 2

$\large \underline{ \blue{ \boxed{ \bf \green{Required \: Answer}}}}$