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Values of x and y will be 12 and 5 respectively.
It's given in the question,
- Three points Q, R and S are collinear.
- Coordinates of Q → (2, 0)
- Coordinates of R → (8, 3)
- Coordinates of S → (x, y)
- QR : RS = 3 : 2
Since, expression for the coordinates of a point (h, k) which divides the segment joining points and
in the ratio of m : n is given by,
h =
k =
Since, R is a point on segment QS dividing in the ratio of 3 : 2, coordinates of R will be,
Similarly,
Therefore, values of x and y will be 12 and 5 respectively.
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