Statement I If \( a+b=-2 h \), then one line of the pair of lines \( a x^{2}+2 h x y+b y^{2}=0 \...

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Statement I If \( a+b=-2 h \), then one line of the pair of lines \( a x^{2}+2 h x y+b y^{2}=0 \) bisects the angle between coordinate axes in positive quadrant.
Statement II If \( a x+y(2 h+a)=0 \) is a factor of \( a x^{2}+2 h x y+b y^{2}=0 \), then \( b+2 h+a=0 \).
You have to select the correct choice as given below :
(a) Statement 1 is true, Statement II is true; Statement II is a correct explanation for Statement I
(b) Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement 1
(c) Statement \( I \) is true, Statement II is false
(d) Statement I is false, Statement II is true
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