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

Explanation

`pi/3ltthetaltpi`

`pi/6lttheta/2ltpi/2`

`sinpi/6ltsinntheta/2ltsinpi/2`

`1/2<1/a<1`

`2>a>1`

`a in (1,2)`

`a in(-2,-1)uu(1,2)`

option 1 is correct.