Number of points on the ellipse 50 x 2 + 20 y 2 = 1 from which pair of perpendicular tangents are drawn to the ellipse 16 x 2 + 9 y 2 = 1 is

Director circle of 16 x 2 + 9 y 2 = 1 is x 2 + y 2 = 25 The director circle will cut the ellipse 50 x 2 + 20 y 2 = 1 at 4 points.

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MathematicsEllipseTangent to ellipseMedium2 minQB

MathematicsMediuminteger

Number of points on the ellipse $\frac{x ^{2}}{50} + \frac{y ^{2}}{20} = 1$ from which pair of perpendicular tangents are drawn to the ellipse $\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1$ is

Answer:

Solution:

Director circle of $\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1$ is $x^{2} + y^{2} = 25$

The director circle will cut the ellipse $\frac{x ^{2}}{50} + \frac{y ^{2}}{20} = 1$ at 4 points.

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:Tangent to ellipse

⏱ 2mℹ️ Source: QB

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