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If the sum of the slopes of the lines given by `x^2-2c x y-7y^2=0` is four times their product, then the value of `c` is_____

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Given equation of pair of lines is `x^(2)-2cxy-7y^(2)=0` .
Let the slopes of the component lines be `m_(1)andm_(2)`. It is given that
`m_(1)+m_(2)=4m_(1)m_(2)`
`rArr-(2c)/(7)=(-4)/(7)`
`:.c=2`
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