CircleHard

Question

The area of the rectangle formed by the perpendiculars from the centre of the standard ellipse to the tangent and normal at its point whose eccentric angle is π/4 is -

Options

A.
B.
C.
D.

Solution

      
Let equation of ellipse is = 1
Equation of tangent at P is
x + = √2
Equation of normal at P is
√2 ax - √2by = a2 - b2
Now OT =
and ON =
Area of rectangle = OT. ON =

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