Mathematics

Mathematics

Problem

Two points are

A(1,2)

and

B(7,-4)

. Point

P

divides

AB

internally in the ratio

2:3

. (i) Determine the coordinates of

P

. (ii) Find the distances

PA

and

PC

, where

C(4,1)

. (iii) State which of the two points

A

or

C

is nearer to

P

and by how much. a. Determine the coordinates of

P

. b. Find the distances

PA

and

PC

, where

C(4,1)

. c. State which of the two points

A

or

C

is nearer to

P

and by how much.

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