Maths-

General

Easy

Question

# If is the angle between the diameter through any point on a standard ellipse and the normal at the point, then the greatest value of tan is–

## The correct answer is:

### Any point P on ellipse is (a cos , b sin )

Equation of the diameter CP is y = x

The normal to ellipse at P is

ax sec – by cosec = a2e2

Slopes of the lines CP and the normal GP are tan andtan

tan = =

=sin cos = sin 2

The greatest value of tan = .1 = .

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