Let S(1,0) and S^ (0,1) be the foci of an eflipse such that SP + S ^ P =2 for any point P on the ellipse. If A ( x ₁, y ₁ ) and A^ (x₂, y₂ ) are the end points of the major axis of this ellipse, then x₁+x₂=

Step-by-step solution

Since we have S P+S^ P=2 a=2 (Given) a=1 And S S^ =2 a e= 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 = ( 1 2 , 1 2 ) End point of major axis = (1+ 1 2 , 1 2 ) and (-1+ 1 2 , 1 2 ) aligned & i.e. ( 3 2 , 1 2 ) and (- 1 2 , 1 2 ) & x₁+x₂= 3 2 - 1 2 =1 . aligned