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The minimum value of {(r+5 -4|cos theta|...

The minimum value of `{(r+5 -4|cos theta|)^(2) +(r-3|sin theta|)^(2)} AA r, theta in R` is

A

0

B

2

C

3

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
It is the square of minimum distance between 2 curves `(x^(2))/(16) + (y^(2))/(9) =1` and `y = x-5`.
Tangent to ellipse parallel to given line `y = x -5` is `y = x+ -5` Since `y = x -5` is tangent to ellipse, required distance is 0
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