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The range of values of lambda,(lambda>0)...

The range of values of `lambda,(lambda>0)` such that the angle `theta` between the pair of tangents drawn from `(lambda,0)` to the circle `x^2+y^2=4` lies in `(pi/2,(2pi)/3)` is (a) `(4/(sqrt(3)),2/(sqrt(2)))` (b) `(0,sqrt(2))` (c) `(1,2)` (d) none of these

A

`((4)/(sqrt3),2sqrt2)`

B

`(0,sqrt2)`

C

(1,2)

D

`(-(4)/(sqrt3),(4)/(sqrt3))`

Text Solution

Verified by Experts

The correct Answer is:
A
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