Any circle through the point of intersection of the lines `x+sqrt(3)y=1` and `sqrt(3)x-y=2` intersects there lines at points `Pa n dQ` . Then the angle subtended by the are `P Q` at its center is `180^0` (b) `90^0` (c) `120^0` depends on center and radius

Options

A. `180^(@)`
B. `90^(@)`
C. `120^(@)`
D. Depends on centre and radius

Answer

1

Explanation

Slopes of gives lines are 2 and `-3`.
If angle between lines is `theta` , then
`tan theta =|(2-(-3))/(1+(2)xx(-3))|=1`
`:. theta =/_ PRQ=45^(@)`