AP EAMCET2007MathematicsEllipse

The value of k , if (1,2),(k,-1) are conjugate points with respect to the ellipse 2 x^2+3 y^2=6 is

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Correct answer

C. 6

Step-by-step solution

Given ellipse is 2 x^2+3 y^2=6 x^2 3 + y^2 2 =1 Polar of P(1,2) with respect to ellipse is S₁=0 . x+3 y-3=0 Since, (1,2) and (k,-1) are conjugates, therefore one passes through the polar of the other aligned & k-3-3=0 & k=6 & aligned

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