Let S (1 ,0 ) and S^ ' (0 ,1 ) be the foci of an ellipse such that SP+S^ 'P=2 for any point P on the ellipse. If A (x_1 ,y_1 ) and A^ ' (x_2 ,y_2 ) are the end points of the major axis of this ellips…

Question

Let S (1 ,0 ) and S^ ' (0 ,1 ) be the foci of an ellipse such that SP+S^ 'P=2 for any point P on the ellipse. If A (x_1 ,y_1 ) and A^ ' (x_2 ,y_2 ) are the end points of the major axis of this ellipse, then x_1+x_2=

Accepted Answer

Correct answer: D. (d) Since we have SP+S^ 'P=2a=2 (Given) ⇒a=1 And SS^ '=2 ae= 1+1= 2 ⇒e= 1 2 b^2=a^2(1-e^2) ⇒b= 1 2<a ∴ Length of semi major axis =a=1 Centre = ( 12 , 12 ) End point of major axis =(1+ 12 , 12) and (-1+ 12 , 12) i.e. ( 32 , 12 ) and (- 12 , 12) ∴x_1+x_2= 32- 12=1

$Let S (1, 0) and S^{’} (0, 1) be the foci of an ellipse such that SP + S^{’} P = 2 for any point P on the ellipse. If A (x_{1}, y_{1}) and A^{’} (x_{2}, y_{2}) are the end points of the major axis of this ellipse, then x_{1} + x_{2} =$

Solution

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