The range of values of λ,λ>0 such that the angleθ between the pair of tangents drawn from(λ,0) to the circle x2+y2=4 lies in (π/2,2π/3) is

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(4/3,22)

(0,2)

(1, 2)

none of these

answer is A.

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Detailed Solution

we have π2<θ<2π3, i.e., π4<θ2<π3or 12