Question

if (2.3).(4.y).(x.6)and (3.5) are the vertices of parallelogram taken in order find x and y​

Answer 1

Answer:

Step-by-step explanation:

Let A,B,C and D be the points (1,2) (4,y), (x,6) and (3,5) respectively.

Mid point of diagonal AC is  ,

(1+x/2 , 2+6/2 ) = (x+1 / 4 )

and Mid point of Diagonal BD is

(  4+3 / 2 , 5 + y / 2 ) =

Since the diagonals of a parallelogram bisect each other, the mid point of AC and BD are same.

∴ x+1/2 = 7/2 and 4 = 5+y/2

⇒ x + 1 = 7 and 5 + y = 8

⇒ x = 6 and y = 3