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Paragraph: Let B ₁ 3 x +4 y -10=0 and B ₂ 4 x -3 y -5=0 are bisectors of angle between lines L ₁=0 and L₂=0 . If L₁ passes through origin and L₂=0 meets the curve y^2=4 a x at A and B . On the basis of above information answer the following : Question: Equation of line L₁=0 is -

Options

  1. Ax=2 y
  2. By=2 x
  3. Cx+y=2
  4. Dx-y=4

Correct answer

A. x=2 y

Step-by-step solution

Clearly L₁ will pass through intersection point of B₁ & B₂ . So its equation will be (3 x+4 y-10)+ (4 x-3 y-5)=0 as L₁ passes through origin so =-2 hence equation of L₁ aligned & -5 x+10 y=0 & x=2 y aligned

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