Question
Download Solution PDFThe coordinates of the point that divides the join of (5, 6) and (-3, 6) in the ratio 3 ∶ 5 are:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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.
Last updated on May 26, 2025
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