Explanation
Solution:
1. General Formula for Angle Bisectors:
For a general pair of straight lines given by the equation ax2+2hxy+by2=0, the equation of the pair of angle bisectors is:
2. Apply the Formula to the First Pair:
The first pair of lines is x2−2mxy−y2=0.
Comparing this with ax2+2hxy+by2=0, we have:
The equation of its angle bisectors is:
Rearranging the terms:
Dividing the whole equation by m:
3. Compare with the Second Pair:
The problem states that one pair represents the angle bisectors of the other. So, our derived equation must be identical to the second given pair:
Comparing the coefficients of the xy term:
Correct Option:
(a) mn+1=0
