The circumcentre of a triangle is the point which is ∶

1. at equal distance from the three sides of the triangle.

2. at equal distance from the three vertices of the triangle.

3. the point of intersection of the three medians.

4. the point of intersection of the three altitudes of the triangle.

Statement (i) : sin² θ + cos² θ = 1

Statement (ii) : cosec² θ + cot² θ = 1

Which of the following is valid ?

1. only (i)

2. only (ii)

3. both (i) and (ii)

4. neither (i) nor (ii)