CircleMedium
Question
If P is a point of the ellipse 
= 1, whose foci are S and S′. Let ⎳PSS′ = α and ⎳PS′ S = β, then -
= 1, whose foci are S and S′. Let ⎳PSS′ = α and ⎳PS′ S = β, then -Options
A.PS + PS′ = 2a, if a > b
B.PS + PS′ = 2b, if a < b
C.tan 
tan 
= 
tan = D.tan tan = 
[a - 
] when a > b
tan = [a - ] when a > bSolution
By definition of ellipse
PS + PS′ = 2a if a > b
PS + PS′ = 2b if a < b
and SS′ = 2ae
Now by sine rule in ᐃPSS′
or
or
or
⇒
= tan 
tan 
[By C & D ]Create a free account to view solution
View Solution FreeMore Circle Questions
The centres of the circles x2 + y2 _ 6x _ 8y _ 7 = 0 and x2 + y2 _ 4x _ 10y _ 3 = 0 are the ends of the diameter of the ...A pair of tangents are drawn from the origin to the circle x2 + y2 + 20(x + y) + 20 = 0. The equation of the pair of tan...If a circle passes through the point $\left( 3,\sqrt{\frac{7}{2}} \right)$ and touches $x + y = 1$ and $x - y = 1$, then...If a chord, which is not a tangent, of the parabola y2 = 16x has the equation 2x + y = p, and midpoint (h, k), then w...An equilateral triangle OAB is inscribed in the parabola $y^{2} = 4x$ with the vertex O at the vertex of the parabola. T...