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Q.

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On the cartesian plane, Qis the midpoint of the straight line PR. Find the values of x and y.

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a

x=8,y=3  

b

x=4,y=312

c

x=3,y=2

d

x=4,y=2

answer is B.

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Detailed Solution

Given, Q is the midpoint of PR.
Question ImageWe need to find the value of x & y.
Midpoint of two point (x1,y1) & (x2,y2) is , (x1+x22,y1+y22).
Now, P(1,4) is (x1,y1) and R(7,y) is (x2,y2) and the midpoint is Q(x,3).
(x,3)=(1+72,4+y2)
Considering x coordinates of the midpoint,
x=7+12; x=4
And, considering y coordinates of the midpoint,
3=y+42 y=2 Thus, the value of x is 4 and y is 2.
Therefore, option (2) is correct.
 
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