Question

if A and B are (-2,2) and (2,-4) respectively. Find the co ordinates of P such that AP=3/7AB and P lies on the line segment AB. Also find the mid point of AB​

Answer 1

Answer:

coordinates of P: (-2/7 , -20/7)

mid point of AB : (0,-1)

Step-by-step explanation:

AP = 3/7AB

PB = 4/7AB

AP:PB = 3:4

using section formula,

coordinates of P = 3*2 + 4*-2/3+4 , 3*-4 + -4*2/3+4

= 6-8/7 , -12-8/7

= (-2/7 , -20/7)

midpoint of AB using mid point formula,

coordinates of midpoint = (-2+2/2 , 2+-4/2)

                                        = (0/2 , -2/2)

                                        = (0,-1)

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