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AP EAMCET20227 Jul 2022Morning ShiftMathematicsEllipseActual

An ellipse has 6 and 2 as length of major and minor axes respectively. If the centre is at (5,6) and the major axis is along x-y+1=0 , then the ellipse is

Options

  1. A(x+y-11)^2+9(x-y+1)^2=18
  2. B(x+y+11)^2+9(x+y-1)^2=18
  3. C(x+y)^2+9(x-y)^2=18
  4. D(x+y-11)^2+9(x+y+1)^2=18

Correct answer

A. (x+y-11)^2+9(x-y+1)^2=18

Step-by-step solution

Given, 2 a=6 a=3 and 2 b=2 b=1 Equation of B C: x+y+k=0 ...(i) It passes through (5,6) . k=-11 Equation becomes x+y-11=0 Equation of ellipse ( x+y-11 1^2+1^2 )^2 3^2 + ( x-y+1 1^2+1^2 )^2 1^2 =1 aligned & (x+y-11)^2 18 + (x-y+1)^2 2 =1 & (x+y-11)^2+9(x-y+1)^2=18 aligned

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