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The tangent to the curve y=e^(k x) at a ...

The tangent to the curve `y=e^(k x)` at a point (0,1) meets the x-axis at (a,0), where `a in [-2,-1]` . Then `k in ` (a) `[-1/2,0]` (b) `[-1,-1/2]` `[0,1]` (d) `[1/2,1]`

A

`[-(1)/(2),0]`

B

`[-1-(1)/(2)]`

C

`[0,1]`

D

`[(1)/(2), 1]`

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The correct Answer is:
D
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