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 and
tan
tan = 
=
=
sin cos = sin 2
The greatest value of tan = .1 = .
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