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If xcosalpha+ysinalpha=4 is tangent to (...

If `xcosalpha+ysinalpha=4` is tangent to `(x^(2))/(25)+(y^(2))/(9)=1` then the value of `alpha` is

A

`tan^(-1)(3//7)`

B

`tan^(-1)(sqrt(3)//7)`

C

`tan^(-1)(7//3)`

D

`tan^(-1)(3//sqrt(7))`

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