EllipseHard
Question
The point of intersection of the tangents at the point P on the ellipse 
= 1, and its corresponding point Q on the auxiliary circle meet on the line -
= 1, and its corresponding point Q on the auxiliary circle meet on the line -Options
A.x = a/e
B.x = 0
C.y = 0
D.none
Solution
Equation of tangent at P
= 1 ... (i)Equation of tangent at Q
xcos θ + ysin θ = a
⇒
sin q = 1 ... (ii)(i) - (ii)
y sin θ
= 0⇒ y = 0 [ sinθ ≠ 0 ; a ≠ b ]
Create a free account to view solution
View Solution FreeMore Ellipse Questions
The eccentricity of an ellipse = 1 whose latus rectum is half of its major axis is-...Find the equations of tangents to the ellipse 9x2 + 16y2 = 144 which pass through the point (2,3)....The circle on SS′ as diameter intersects the ellipse in real points then its eccentricity (where S and S′ ar...An ellipse has its center at $(1, - 2)$, one focus at $(3, - 2)$ and one vertex at (5,-2). Then the length of its latus ...Let E be the ellipse = 1 and C be the circle x2 + y2 = 9. Let P and Q be the points (1, 2) and (2, 1) respectively. Then...