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Let perpendicular distance of any variab...

Let perpendicular distance of any variable tangent on the curve 'C' from origin is equal to polar radius of point of tangency. If curve passes through `P (2sqrt(3),2)`, then length of normal to the curve point P is: (A) 2 (B) 4 (C) 16 (D) 12

Text Solution

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`x=a+rcostheta`
`y=b+rsintheta`
`tantheta=2/(2sqrt3)=1/sqrt3`
`x=4costheta`
`y=4sintheta`
length of normal=r=4.
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