Tangents are drawn from points on the circle | vedclass

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(B) The equation of the ellipse is $\frac{x^2}{25} + \frac{y^2}{24} = 1$,where $a^2 = 25$ and $b^2 = 24$.The director circle of an ellipse $\frac{x^2}

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$\frac{\pi}{2}$

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(B) The equation of the ellipse is $\frac{x^2}{25} + \frac{y^2}{24} = 1$,where $a^2 = 25$ and $b^2 = 24$.The director circle of an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ is given by $x^2 + y^2 = a^2 + b^2$.Substituting the values,we get $x^2 + y^2 = 25 + 24 = 49$.Since the given circle $x^2 + y^2 = 49$ is the director circle of the ellipse,the tangents drawn from any point on this circle to the ellipse are perpendicular to each other.Therefore,the angle between the tangents is $\frac{\pi}{2}$.

Tangents are drawn from points on the circle $x^2 + y^2 = 49$ to the ellipse $\frac{x^2}{25} + \frac{y^2}{24} = 1$. The angle between the tangents is:

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