If a R , b R then the factors of the expression a(x^2-y^2)-bxy are

JEE Advanced Mathematics question

If , then the factors of the expression are

Answer: (A)

a(x^2-y^2)-bxy=ax^2-bxy-ay^2. As a quadratic in , its discriminant is

D=-4(a)(-a)=+>0 (unless a=b=0,\ \text{when the

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Question ID VK-107998