If the pairs of straight lines `ax^(2)+2hxy-ay^(2)=0` and `bx^(2)+2gxy-by^(2)=0` be such that each bisects the angles between the other, thenA. `hg+ab=0`B. `ah+bg=0`C. `h^(2)-ab=0`D. `ag+bh=0`

If the pairs of straight lines `ax^(2)+2hxy-ay^(2)=0` and `bx^(2)+2gxy

1.	If the pairs of straight lines `ax^(2)+2hxy-ay^(2)=0` and `bx^(2)+2gxy-by^(2)=0` be such that each bisects the angles between the other, thenA. `hg+ab=0`B. `ah+bg=0`C. `h^(2)-ab=0`D. `ag+bh=0`
Answer» Correct Answer - A Since each pair of lines bisects the angles between the other. So, the equation of the bisectors of the angles bectween the lines given by `ax^(2)+2hxy-ay^(2)=0` is `bx^(2)+2gxy-by^(2)=0` The equation of the bisectors of the angles between the lines given by `ax^(2)+2hxy-ay^(2)=0` is `(x^(2)-y^(2))/(a-(-a))=(xy)/(h)rArr hx^(2)-2axy-hy^(2)=0" (ii)"` Since (i) and (ii) represent the same pair of straight lines. `therefore" "(b)/(h)=(g)/(-a)=(-b)/(-h)rArr -ab=ghrArr ab+gh=0`

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