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If the pair of straight lines x ysqrt(3)...

If the pair of straight lines `x ysqrt(3)-x^2=0` is tangent to the circle at `Pa n dQ` from the origin `O` such that the area of the smaller sector formed by `C Pa n dC Q` is `3pis qdotu n i t ,` where `C` is the center of the circle, the `O P` equals `((3sqrt(3)))/2` (b) `3sqrt(3)` (c) 3 (d) `sqrt(3)`

A

`(3 sqrt(3))//2`

B

`3 sqrt(3)`

C

3

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
2
`tan 30^(@)=(r )/(OP)`
or `OP =r sqrt(3)`
Also, `r^(2)(1)/(2) (2pi)/(3)=3pi`
`:. r=3`
`:. OP=3sqrt(3)`
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