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`        find radius of largest circle with centre (1,0)which can be inscribed in ellipse x^2 + 4y^2 =16`
7 years ago

147 Points
```										Dear tushar
x^2 + 4y^2 =16
point on the parabola(acosθ,bsinθ)=(4cosθ,2sinθ)
equation of normal of parabola
axsecθ -bycosecθ =a2 -b2
or 4 xsecθ - 2y cosecθ =12
it passes through (1,0)
so secθ =3
or cos θ =1/3
sinθ =2 √2/3
so point become (4cosθ,2sinθ)=(4/3,4 √2/3)
now find the distance between point (1,0) and (4/3,4 √2/3)  it will be radius  of circle.

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7 years ago
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