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Question

Mathematics Question on Tangents and Normals

The equation of the tangent and normal to the ellipse x2 + 2y2 + 2x - 4y - 14 = 0 at (2, -1) is

A

3x - 4y - 10 = 0, 4x + 3y - 5 = 0

B

4x + 3y - 10 = 0, 3x + 4y - 5 = 0

C

3x - 4y - 5 = 0, 4x - 4y - 10 = 0

D

3x - 4y - 10 = 0, 4x - 3y - 5 = 0

Answer

3x - 4y - 10 = 0, 4x + 3y - 5 = 0

Explanation

Solution

The correct option is (A) : 3x - 4y - 10 = 0, 4x + 3y - 5 = 0.