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The equation of the directrices of the hyperbola 3 x²-3 y²-18 x+12 y+2=0 is

Options

  1. Ax=3 13 6
  2. Bx=3 6 13
  3. Cx=6 13 3
  4. Dx=6 3 13

Correct answer

A. x=3 13 6

Step-by-step solution

Given equation is 3 x²-3 y²-18 x+12 y+2=0 It can be written as (x-3)² ( 13 3 )² - (y-2)² ( 13 3 )² =1 aligned here, a &=b= 13 3 e &= 1+ b² a² &= 1+1 &= 2 aligned Equation of the directrix are x=3 13 6

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