Two vertices of a triangle are (-5, 3) and (4, -7). If centroid of the triangle is (-1, 2) then the third vertex is :

1. (-2, 7)

2. (-2, 10)

3. (-2, -10)

4. (0, -2)

Points A, B, C and D divide the join of O(0, 0) and P(0, 10) into five equal parts. The co-ordinates of point D are :

1. (10, 8)

2. (-8, 0)

3. (-10, 0)

4. (0, 8)

The point P divides the line segment joining the point (1, 2) and (-1, 2) internally in the ratio 1 : 2.

Assertion (A) : The co-ordinates of point P = (1, 6)

Reason (R) : If point P divides the line segment joining the points (x₁, y₁) and (x₂, y₂) in the ratio m₁ : m₂ then :

P = $\Big(\dfrac{m$1x2 + m2x1}{m1 + m2}, \dfrac{m1y2 + m2y1}{m1 + m2}\Big)

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.

Point P(x, y) is equidistant from points A(7, 1) and B(3, 5).

Statement 1: x = $\dfrac{7 + 3}{2}$ and y = $\dfrac{1 + 5}{2}$.

Statement 2: (x - 7)² + (y - 1)² = (x - 3)² + (y - 5)².

1. Both the statement are true.

2. Both the statement are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.