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The locus of a moving point P(a cos^(3)t...

The locus of a moving point `P(a cos^(3)theta,a sin^(3)theta)` is:

Text Solution

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Let point P be `(h,k)`

Here,`h=(2(10costheta)+3(5))/(2+3)=4 sin theta+ 3`
`k=(2(10sintheta)+3(0))/(2+3)=4 sin theta`
`therefore (h-3)^2+k^2=16`
Therefore, locus of `P(h,k)` is `(x-3)^2+y^2=16`.
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