If The Pairs Of Straight Lines ax2 + 2hxy – ay2 = 0 And bx2 + 2gxy – by2 = 0 Be Such That Each Bisects The Angles Between The Other, Then

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Question

If the pairs of straight lines ax2 + 2hxy – ay2 = 0 and bx2 + 2gxy – by2 = 0 be such that each bisects the angles between the other, then

Solution

Correct option is

 

Since each pair of lines bisects the angles between the other. So, the equation of the bisectors of the angles between the lines given by ax2 + 2hxy – ay2 = 0 is     

      

The equation of the bisectors of the angles between the lines given by ax2+ 2hxy – ay2 = 0 is  

      

Since (i) and (ii) represent the same The Pair of Straight Lines.  

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