If ( 1 , 2) , ( 4 , y) , ( x , 6) and ( 3 , 5) are the vertices of a parallelogram taken in order, find x and y . `(AS_(4))`

( x , y) , ( 2 , 0) , ( 3 , 2) and ( 1 , 2) are vertices of a parallelogram , then ( x , y) = ......

If (-1, 2), (4, 1), (7, 16) are the three vertices of a parallelogram taken in order, then the fourth vertex and also the area of the parallelogram are

Show that the points A(7 , 3) , B (6 , 1) , C ( 8 , 2) and D ( 9 , 4) taken in that order are vertices of a parallelogram . (AS_(2))

Prove that the points ( - 7 , - 3) , ( 5 , 10) , ( 15 , 8) and ( 3 , - 5) taken in order are the corners of a parallelogram . (AS_(2))

Show that the points ( - 4 , -7) , ( - 1 , 2) , ( 8 , 5) and ( 5 , -4) taken in order are the vertices of a rhombus. And find its area. (Hint : Area of rhombus =(1)/(2) xx pro-duct of its diagonals ) (AS_(2),AS_(4))

Find the area of a triangle whose vertices are ( 1 , -1) , ( - 4 , 6) and ( - 3 , -5) . (AS_(1))

The condition for the points z_1,z_2,z_3,z_4 taken in order in the Argand plane to be the vertices of a parallelogram is

Find the fourth vertex of the parallelogram whose consecutive vertices are (2,4,-1),(3,6,-1)" and " (4,5,1) .

If x = 1 , y = 2 find the values of the following expressions: 4x- 6y +5