PYQ Vault

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.

Try each one first, then open its answer.

  1. Question 1

    3 May 2023 S2

    106
    The equation of pair of lines y=pxy=px and y=qxy=qx can be written as (y−px)(y−qx)=0(y-px)(y-qx)=0. Then the equation of the pair of the angle bisectors of the lines x2−4xy−5y2=0x^{2}-4xy-5y^{2}=0 is

    Tap an option to check your answer.

  2. Question 2

    25 Apr 2025 S1

    145
    The joint equation of the bisector of the angle between the lines 2x2+11xy+3y2=02x^{2}+ 11xy+ 3y^{2}= 0 is

    Tap an option to check your answer.