Question

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Find the coordinates of the point which divides the line segment joining the points (4,-3) and ( 8,5) in the ratio 3:1 internally? ??

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Answer 1

x1 = 4

x2 = 8

y1 = - 3

y2 = 5

m1 : m2 = 3 : 1

1.)

x = ( m1 x2 + m2 x1) / (m1 + m2)

x = ( 3 × 8 + 1 × 4) / ( 3 + 1)

x = ( 24 + 4) / 4

x = 28 / 4

x = 7

2.)

y = ( m1 y2 + m2 y1) / (m1 + m2)

y = [ 3 × 5 + 1 × (-3)] / ( 3 +1)

y = [ 15 - 3] / 4

y = 12 / 4

y = 3


Coordinate of given point is ( 7, 3)

Answer 2

Refer the attachment for the answer