The given table shows the distance covered and the time taken by a train moving at a uniform speed along a straight track.

The values of x and y are :

1. x = 4, y = 150

2. x = 3, y = 100

3. x = 4, y = 100

4. x = 3, y = 150

The 7th term of the given Arithmetic Progression (A.P.):

$\dfrac{1}{a}, \Big(\dfrac{1}{a} + 1\Big), \Big(\dfrac{1}{a} + 2\Big), ……$ is :

1. $\Big(\dfrac{1}{a} + 6\Big)$

2. $\Big(\dfrac{1}{a} + 7\Big)$

3. $\Big(\dfrac{1}{a} + 8\Big)$

4. $\Big(\dfrac{1}{a} + 7^7\Big)$

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)