If tangents are drawn to the ellipse x^{2}+2y^{2}=2 at all points on the ellipse other than its four vertices then the mid points of the tangents intercepted between the coordinate axes lie on the curve 

(a) 
+ 
(b) 

(c) 
(d) 
If tangents are drawn to the ellipse x^{2}+2y^{2}=2 at all points on the ellipse other than its four vertices then the mid points of the tangents intercepted between the coordinate axes lie on the curve 

(a) 
+ 
(b) 

(c) 
(d) 
Equation of general tangent on ellipse
a= b = 1
⇒
Let the midpoint be (h, k)
h=
⇒cos=
and k=
⇒sin
∴sin^{2}+cos^{2}=1
⇒
⇒