JEE Advanced 2011 Mathematics question

Let P(6, 3) be a point on the hyperbola . If the normal at the point P intersects the x-axis at (9, 0), then the eccentricity of the hyperbola is

Answer: (B)

Solution

The normal at is . At P(6, 3) and passing through (9, 0): $ = + ⇒ = + ⇒ =

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Question ID VK-025984