Question

If A and B are (-2,-2) and (2,-4) respectively
find the co-ordinates of 'P' such that
AP = 3 AB and 'p' lies on the segment
AB​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Step-by-step explanation:

Given If A and B are (-2,-2) and (2,-4) respectively  find the co-ordinates of 'P' such that  AP = 3 AB and 'p' lies on the segment  AB​

• AP = 3 AB and 'p' lies on the segment
• AB
• Let the co-ordinates of point P be P(x,y)
• Given AP = 3 (AB)
• So AP = 3(AP + PB)
• A.P = 3 AP + 3 PB
• -2 AP = 3 PB
• AP / PB = - 3 / 2
• Therefore point P divides AB in the ratio of – 3 : 2
• Using section formula we get
• So m1 = - 3,  m2 = 2, x1 = -2, x2 = 2, y1 = - 2, y2 = - 4
• So X = m1 x 2 + m2 x1 / m1 + m2
•         = - 3 x 2 + 2 x – 2 / - 3 + 2
•         = - 6 – 4 / - 1
•         = - 10 / - 1
•        = 10
• Now Y = m1y2 + m2y1 / m1 + m2
•             = - 3 x – 4 + 2 x – 2 / - 3 + 2
•            = 12 – 4 / - 1
•            = - 8

Therefore coordinates of P are p (x,y) = p (10, - 8)

Reference link will be

https://brainly.in/question/2676660