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Q.

Let the equation of the pair of lines, y=px and y=qx , can be written as  (ypx)(yqx)=0 . Then the equation of the pair of the angle bisectors of the lines is  x24xy5y2=0

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a

x2+4xyy2=0

b

x23xy+y2=0

c

x2+3xyy2=0

d

x23xyy2=0

answer is D.

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Detailed Solution

h(x2y2)=(ab)xy

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Let the equation of the 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 is  x2−4xy−5y2=0