Question

Coordinates of the point 'p' which divides the line joining
x (3,1), y (5, -1) in 1:1 ratio is --------
B) (0,4)
A) (-4,5)
C) ( 8/3,0)
D) (4,0)​

Answer 1

1:1 means that the point divides the line into two equal points and hence that point is the mid point

Let the point be (x,y)

x = (x1+x2)/2

= (3+5)/2 = 8/2 = 4

y = (y1+y2)/2

= (1-1)/2 = 0

Therefore the point is (4,0) option D

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Answer 2

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$\mathfrak{The\:Answer\:is}$

Co-ordinate of Point P

= {(mx2 + nx1)/2, (my2 + ny1)/2}

= {(1*5 + 1*3)/2, (1*(-1) + 1*1)/2}

= { (8/2), (0/2) }

= (4,0)

Therefore, Option D is the correct option.

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