If `A & B` are the points `(-3,4)a n d(2,1)` , then the co-ordinates of the point `ConA B` produced such that `A C=2B C` are: `(2,4)` b. `(3,7)` c. `(7,-2)` d. `(1/2,5/2)`

Show that the points A(1,0),B(5,3),C(2,7) and D(-2,4) are the vertices of a parallelogram.

Show that the points A(2,-2), B(8, 4), C(5,7) and D(-1, 1) are the angular points of a rectangle.

The opposite angular points of a square are (3,4) a) and (1,-1). Then the co-ordinates of other two points are() bx + (a) D1, 9 (a) D(1 ) B(63) 2 2) th 1 9 1 5 2 2) 2 2 (c) D(394(,) 2' 2 (d) none of these

The coordinates of the point P dividing the line segment joining the points A(1,3) and B(4,6) in the ratio 2:1 are (2,4)( b )(3,5) (c) (4,2) (d) (5,3)

Which of the points A (1,2), B (-2,2) , C (-3,-4) and D (4,-1) is nearest to the origin ?

Show that the points A (1, 0), B(5, 3), C (2, 7) and D(-2, 4) are the vertices of a rhombus.