.if. (1,2),(4,y),(x,6) and (3,5)drawn in the sequence square is obtained then find the value of x and y
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Answer:
x=6 and y=3
Step-by-step explanation:
Given that: A(1,2),B(4,y),C(x,6)and D(3,5) are vertices of a parallelogram
then diagonals of a parallelogram bisect each other. Therefore
cordinates of midpoint of AC = cordinates of mid point of BD
(1+x/2, 2+6/2) = ( 3+4/2 , 5+y/2)
on comparing,
1+x/2 = 7/2 and 8/2 = 5+y/2
1+x = 7 and 8 = 5+y
x = 6 and y=3
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