Question

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

Answer 1

Correct Answer - 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