Consider a family of circles which are passing through the point `(-1,1)` and are tangent to the x-axis. If `(h ,k)` are the coordinates of the center of the circles, then the set of values of `k` is given by the interval.
(a)`kgeq1/2` (b) `-1/2lt=klt=1/2` `klt=1/2` (d) `0`<`k`<`1/2`

Options

A. `kge (1)/(2)`
B. `-(1)/(2) le k le (1)/(2)`
C. `k le(1)/(2)`
D. `0ltklt(1)/(2)`

Answer

1

Explanation

From the figure , `k ge 1//2`.