If the radius of the largest circle with centre (2, 0) inscribed in the ellipse x 2 + 4y 2 = 36 is r, then 12 r is equal to
Text Solution
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Given equation of ellipse is 
It is of the form 
With a = 6, b = 3.
The centre of the circle is C(2, 0).
Let P(a cos 
, b sin 
) be the common point for ellipse and circle.
P =(6 cos 
,3 sin 
)
Equation of normal to the ellipse will be 
But the normal through P passes through the centre of the circle C(2,0).
and 
Now CP = r = 
Therefore, the required answer is 92
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