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AP EAMCET201822 Apr 2018Evening ShiftMathematicsEllipseActual

The equations of the latusrectum of the ellipse 9 x^2+4 y^2-18 x-8 y-23=0 are

Options

  1. Ax=-1 5
  2. By=1 5
  3. Cx=1 2 5 3
  4. Dy=2 5

Correct answer

B. y=1 5

Step-by-step solution

Equation of given ellipse aligned & 9 x^2+4 y^2-18 x-8 y-23=0 & 9(x-1)^2+4(y-1)^2=36 & (x-1)^2 4 + (y-1)^2 9 =1 & aligned Equation of latus rectum is array lrl & y-1 & = 3 5 3 & y & =1 5 array

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