Question

A line segment AB is increased along its length by 25% by producing it to C on the side of B. If A and B have the coordinates (–2, –3) and (2,1) respectively, then find the co – ordinates of C.

Answer 1

Answer:

The coordinates of point C is  $(3,2)$

Step-by-step explanation:

Given a line segment AB is increased along its length by 25% by producing it to C on the side of B. If A and B have the coordinates (–2,–3) and (2,1) respectively. we have to find the coordinates of point C

Let the length of line segment AB is x units.

It is given that AB is increased by 25% extended upto C.

Hence, $BC=\frac{25}{100}\times x=\frac{1}{4}x$

∴ AB is externally divided into m:n i.e 5:1

By Section formula for external division

$C=({\frac{(mx_2-nx_1)}{(m-n)},\frac{(my_2-ny_1)}{(m-n)}})$

        = $({\frac{(5(2)-1(-2))}{(5-1)},\frac{(5(1)-1(-3)}{(5-1)}})$

        = $(3,2)$

Answer 2

Step-by-step explanation:

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