If `(-6,-4),(3,5),(-2,1)` are the vertices of a parallelogram, then the remaining vertex can be (a)`(0,-1)` (b) `7,9)` (c)`(-1,0)` (d) `(-11 ,-8)`

If A(-2, -1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram, find the values of a and b.

Show that P(3,4), Q(7, -2), R((1,1) and S(-3, 7) are the vertices of a parallelogram.

If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram, taken in order. Find the value of P.

If A(3,5), B(-5, - 4), C(7, 10) are the vertices of a parallelogram, taken in the order, then the co-ordinates of the fourth vertex are

If P(1,2)Q(4,6),R(5,7), and S(a , b) are the vertices of a parallelogram P Q R S , then (a) a=2,b=4 (b) a=3,b=4 (c) a=2,b=3 (d) a=1orb=-1

Show that A(4,-1), B(6,0), C(7,-2) and D(5, -3) are vertices of a square.

Show that the points A(1,2,3),B(-1,-2,-1),C(2,3,2) and D(4,7,6) are the vertices of a parallelogram ABCD, but it is not a rectangle.

Find the possible co-ordinates of the fourth vertex of the parallelogram, if three of its vertices are (5,6),(1,-2) and (-3,2) .

If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre lies at the origin, and the centroid on the line x+y=7 , then the third vertex lies at (a) (7,4) (b) (8,14) (c) (12 ,21) (d) none of these