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AP EAMCET2002MathematicsEllipse

The pole of the straight line x+4 y=4 with respect to the ellipse x^2+4 y^2=4 is

Options

  1. A(1,1)
  2. B(1,4)
  3. C(4,1)
  4. D(4,4)

Correct answer

A. (1,1)

Step-by-step solution

Equation of line is x+4 y-4=0 l=1, m=4, n=-4 and equation of ellipse is aligned & x^2+4 y^2=4 & x^2 4 + y^2 1 =1 & a^2=4, b^2=1 aligned Pole of the straight line with respect to ellipse = ( -a^2 l n , -b^2 m n )= ( -4.1 -4 , -1.4 -4 )=(1,1)

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