Tangents are drawn from any point on the circle x 2- y 2-41 to the Ellipse x2-25-y2-16-1 then the angle between the two tangents is A- -4-B- 3-D- -2

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Equation of Pair of Tangents: Hyperbola

Tangents are ...

Question

Tangents are drawn from any point on the circle $x^{2} + y^{2} = 41$ to the Ellipse $\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$ then the angle between the two tangents is

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Solution

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x^{2} + y^{2} = 41

\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1

x^{2} + y^{2} = 25

\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1,

x^{2} + y^{2} = 50

x^{2} + y^{2} = 25

x^{2} + y^{2} = a^{2}

x^{2} + y^{2} = b^{2}

(a > b)

k {sin}^{- 1} \frac{b}{a}

k =

x^{2} + y^{2} = a^{2}

x^{2} + y^{2} = b^{2}

\frac{π}{3}

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