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Co - ordinate Geometry Ellipse

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The equations of the tangents of the ellipse 9x² + 16y² = 144 which passes through the point (2, 3) is

A. y = 3, x + y = 5

B. y = -3, x - y = 5

C. y = -4, x + y = 3

D. y = -4, x - y = 3

E. None of the above

View Answer

Correct choice: A

Explanation:

The tangent will be y - 3 = m (x - 2) ⇒ y - mx = 3 -2m.
But it is tangent to the given ellipse, therefore m = 0, -1. Hence tangents are y = 3 and x + y = 5 .

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Eamcet Mathematics Co - ordinate Geometry Ellipse

Eamcet Mathematics
Co - ordinate Geometry Ellipse