Two friends Jai and Rohit went for a morning walk in their society Park PQRS. PQRS is a square Park of side B units if P lies at the origin, sides PQ and PS lie along x axis and y axis respectively.
If b=4 units, the coordinates of point a on the side PQ which divides PQ internally in the ratio 1:3 is?
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Given: Two friends Jai and Rohit went for a morning walk in their society Park PQRS. PQRS is a square Park of side B units if P lies at the origin, sides PQ and PS lie along x axis and y axis respectively. If b=4 units, the point a on the side PQ divides PQ internally in the ratio 1:3.
To find: The coordinates of point a on the side PQ which divides PQ internally in the ratio 1:3.
Solution:
According to the question, the coordinates of the point P is (0,0), Q is (4,0), R is (4,4) and S is (0,4). The side PQ is 4 units in length and is divided in the ratio of 1:3. So, the first part of the side PQ is 1 unit and the other part of the side PQ is 3 units.
Since PQ lies on the x-axis, the point a also lies on the x-axis. Hence, the y-coordinate of the point a would be zero. On the x-axis, a is 1 unit from the point P as PQ is divided into a 1:3 ratio.
Therefore, the coordinates of point a on the side PQ which divides PQ internally in the ratio 1:3 is (1,0).