If tangents are drawn to the ellipse x2+2y2=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 x2+2y2=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)
Question ID - 57008 | SaraNextGen Top Answer
If tangents are drawn to the ellipse x2+2y2=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 x2+2y2=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) |
|
1 Answer
127 votes
Answer Key / Explanation : (c) -
Equation of general tangent on ellipse
a=
b = 1
⇒
Let the midpoint be (h, k)
h=
⇒cos
=
and k=
⇒sin
∴sin2
+cos2
=1
⇒
⇒
127 votes
Answer Link
127