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Question

If the line L:3x4y=0 is rotated about the centre of the circle (x4)2+(y3)2=25 through an acute angle of θ in anticlockwise sense such that after rotation it becomes one of the members of the family of lines x+λy3λ=0, λR, then θ equals

A
tan12
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B
cot12
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C
tan11
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D
sec12
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