## Question

The area of the rectangle formed by the perpendiculars from the centre of the ellipse to the tangent and normal at the point-whose eccentric angle is , is

### Solution

So, the equation of the tangent at this point is

*p*_{1} = Length of the perpendicular form (0, 0) on line (i)

Equation of the normal at is

∴ *p*_{2} = Length of the perpendicular form (0, 0) on line (ii)

∴ Area of the rectangle

.

#### SIMILAR QUESTIONS

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