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Question

Mathematics Question on Ellipse

Let the ellipse, x2a2+y2b2=1,a>b,\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1, a > b, pass through the point (2, 3) and have eccentricity equal to 12\frac{1}{2}. Then equation of the normal to this ellipse at (2,3)(2,3) is :

A

2yx=42y-x=4

B

2xy=12x-y=1

C

3x2y=03x-2y=0

D

3xy=33x-y=3

Answer

2xy=12x-y=1

Explanation

Solution

Answer (b) 2xy=12x-y=1