The ratio in which the line 3x + y – 9 = 0 divides the segment joining the points (1, 3) and (2, 7) is 

1) 1 : 1
2) 3 : 4
3) 1 : 3
4) 4 : 3

If the distance between the points (4, p) and (1, 0) is 5, then p = 

1) ±4 
2) 4
3) -4
4) 0

Two vertices of a triangle are (3, –5) and (–7, 4). If its centroid is (2, –1). Find the third vertex.

1) (10, –2)
2) (10, 2)
3) (-2, 10)
4) (1, –2)

The distance between the points (a cos 25°, 0) and (0, a cos 65°) is 

1) a
2) 2a
3) 3a
4) None of these

Find the value of x, if the distance between the points (x, – 1) and (3, 2) is 5

1) -2
2) 4
3) -1
4) 2