if the coordinates of a and b are ( 2,-1 ) and (3,5).c is the mid point of ab .then find the coordinates of c
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Answer:
using midpoint formula, Coordinates of C = (5/2, 2)
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Given: A(2,-1),B(3,5)
Let the C (x,y) be the mid - point of AB
X1 =2 , X2 = 3 , y1 = -1 , y2 = 5
Then,
X =X1 +X2
----------- ; = 2+3
2 ------ =5/2
2
Y= y1 +y2
--------- = (-1) +5= 4
2 --------- --- =2
2 2
x =5 y = 2
--- ;
2
therefore , C ( 5 2 ) are the coordinate of mid point AB. ----
3
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