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Question

The line x - 2y = 0 will be a bisector of the angle between the lines represented by the equation x22hxy2y2=0, if h =  


  1. 2

  2. -2

  3. 1/2

  4. -1/2


Solution

The correct option is B

-2


Here one equation of bisectors is x - 2y = 0.We know that both bisectors are perpendicular, therefore second bisector will be 2x + y = 0 because it passes through origin.

Hence the combined equation of bisectors is given by (2x + y)(x - 2y) = 0 2x2+3xy+2y2=0.

Now camparing it by hx2+3xyhy2=0, we get h = -2. 

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