Consider a pair of lines represented by \( a x^{2}+2 h x y+b y^{2}=... VIDEO
Consider a pair of lines represented by \( a x^{2}+2 h x y+b y^{2}=0 \) where \( a, b, h \) are real numbers and \( h^{2}a b \), then
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Statement-1: If \( a+b+2 h=0 \), then one line of the pair \( a x^{2}+2 h x y+b y^{2}=0 \) bisects the angle between
W coordinate axes in first and third quadrants.
because
Statement-2: If \( a x+y(2 h+a)=0 \) is a factor of \( a x^{2}+2 h x y+b y^{2}=0 \), then \( b+2 h+a=0 \)
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