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If one of the lines $4 x^{2} - cxy + y^{2} = 0$ is $x + y = 0$ then $c =$

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Correct option is D

If m1,m2 are slopes of lines represented by the combined equation ax2+2hxy+by2=0 then the equation whose roots are m1,m2 is bm2+2hm+a=0 The slope of the line x+y=0 is−1Hence -1 is the root of m2−cm+4=0It implies that 1+c+4=0⇒c=−5

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If one of the lines 4x2−cxy+y2=0 is x+y=0 then c=

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If one of the lines $4 x^{2} - cxy + y^{2} = 0$ is $x + y = 0$ then $c =$