The coordinates of the point that divides the join of (5, 6) and (-3, 6) in the ratio 3 ∶ 5 are:

Question

Question

This question was previously asked in

AAI ATC Junior Executive 21 Feb 2023 Shift 2 Official Paper

Answer 1

Given:

Points (5, 6) and (-3, 6)

Concept:

If (x, y) divides (x₁, y1) and (x₂, y2) in the ratio m:n then

\(\rm x=\frac{mx_2+nx_1}{m+n}\) and y = \(\frac{my_2+ny_1}{m+n}\)

Calculation:

Let the coordinates of the point that divides the join of (5, 6) and (-3, 6) in the ratio 3 ∶ 5 are (x , y).

Then

\(\rm x=\frac{3(-3)+5(5)}{3+5}=\frac{16}{8}=2\)

And

\(\rm y=\frac{3(6)+5(6)}{3+5}=\frac{48}{8}=6\)

Hence the coordinates of the point that divides the join of (5, 6) and (-3, 6) in the ratio 3 ∶ 5 are (2, 6) .

Hence the option (2) is correct.

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