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Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseTangent to ellipseHard3 minQB

MathematicsHardnumerical

For the ellipse $x^{2} /16 + y^{2} /9 = 1$ , circles centred at its foci are both tangent to a common line which is also tangent to the ellipse. Find the product of their radii.

Answer:

9.00

Solution:

The radii are the perpendicular distances $p_{1}, p_{2}$ from the foci to the tangent, and $p_{1} p_{2} = b^{2} = 9$ .

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:Tangent to ellipse

⏱ 3mℹ️ Source: QB

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