First slide
Pair of straight lines
Question

If the two pairs of lines 2x2+6xy+y2=0 and 4x2+18xy+by2=0 are equally inclined, then b= 

Moderate
Solution

Both the pairs have same pair of angular bisectors

equation of angular bisector is3(x2-y2)=(2-1)xy.............1

equation of angular bisector of second equation 9(x2-y2)=(4-1)xy

both equations represent same

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