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MHT CET2008MathematicsApplication of Derivatives

The equation of the tangent parallel to y-x+5=0 drawn to x² 3 - y² 2 =1 is

Options

  1. Ax-y-1=0
  2. Bx-y+2=0
  3. Cx+y-1=0
  4. Dx+y+2=0

Correct answer

A. x-y-1=0

Step-by-step solution

Given hyperbola is x² 3 - y² 2 =1 ...(i) Equation of tangent parallel to y-x+5=0 is aligned & & y-x+ &=0 & & & y &=x- ...(ii) aligned If line (ii) is a tangent to hyperbola (i), then array rc - = 3 x-2 ( from c= a² m²-b² ) & - = 1 & =-1,+1 array Put the values of in Eq. (ii), we get x-y-1=0 and x-y+1=0 are the required tangents.

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