Joint equation of the bisectors of the angles between the lines of a pair
This type of question, asked 3 times: 3 May 2023 S2, 25 Apr 2025 S1, 19 Apr 2026 S1. All 3 questions 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
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Question 3
19 Apr 2026 S1
58
If the combined equation of angle bisectors of the lines x2−2pxy−y2=0 is x2−2qxy−y2=0, then which of the following is true?