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AP EAMCET2006MathematicsEllipse

Equations of the latus rectum of the ellipse 9 x^2+4 y^2-18 x-8 y-23=0 are :

Options

  1. Ay= 5
  2. Bx= 5
  3. Cy=1 5
  4. Dx=-1 5

Correct answer

C. y=1 5

Step-by-step solution

Equation of ellipse is 9 x^2+4 y^2-18 x-8 y-23=0 9 (x^2-2 x+1 )-9+4 (y^2-2 y+1 )-4-23=0 9(x-1)^2+4(y-1)^2=36 (x-1)^2 4 + (y-1)^2 9 =1 Here a < b Also e= 1- 4 9 = 5 9 = 5 3 Equation of latus rectum are y-1= 3 5 3 y=1 5

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