Joint equation of the bisectors of the angles between a given homogeneous pair
The same question, asked 2 times: 3 May 2023 S2*, 25 Apr 2025 S1. Every wording below, oldest first.
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Question 1
3 May 2023 S2
106
The equation of pair of lines y=px and y=qx can be written as (y−px)(y−qx)=0. Then the equation of the pair of the angle bisectors of the lines x2−4xy−5y2=0 is
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Question 2
25 Apr 2025 S1
145
The joint equation of the bisector of the angle between the lines 2x2+11xy+3y2=0 is