Question

if a point p divides the line segment joining A(5,3) B(10,8) in the ratio 3:2 internally the point p lies on​

Answer 1

answer

formula

( m2x1 + m1x2 / m1 + m2) = x

( m2y1 + m1y2 / m1 + m2) = y

Given

m1: m2 = 3:2

x1, y1 = 5,3

x2, y2 = 10,8

substitute in the formula :

( 2*5 + 3*10 / 3+2 ) = x

(10 + 30 /5 ) = x

40/5 = x

x=8 unit

( 2*3 + 3*8 /2 + 3 ) = y

( 6 + 24 /5 ) = y

30/5 = y

y = 6 unit

the coordinate are ( 8 , 6)

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Answer 2

Answer:

formula: m1x2+m2x1 m1y2+m2y1/m1+m2

—————‐‐——,

m1+m2

Step-by-step explanation:

3×10+2×5/5 3×8+2×3/5

8 , 6

the point p lies on the coordinates (x,y) ie.., (8,6)