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Exercise 7. Find the coordinates of the point which divides the join of -1, 7 and 4, -3 in the ratio 2 : 3. Find the coordinates of the points of trisection of the line segment joining 4, -1 and -2, To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each.

What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

Solution: The blue flag is in the 5th line, at a distance of Find the ratio in which the line segment joining the points -3, 10 and 6, -8 is divided by -1, 6. Find the point on the x-axis which is equidistant from 2, -5 and -2, 9. Find the values of y for which the distance between the points P 2, -3 and Q 10, y is 10 units. If Q 0, 1 is equidistant from P 5, -3 , and R x, 6 , find the values of x.

Also, find the distances QR and PR. Find a relation between x and y such that the point x, y is equidistant from the points 3, 6 and -3, 4.

The Perpendicular distance of x a point from the y-axis is called its x-coordinate or abscissa. The perpendicular distance y of a point from the x-axis is called its y-coordinate or ordinate. The x and y taken together in order is called coordinte of point denoted by x, y.

The coordinate of the points on x-axis are of the form x, 0 and the points on the y-axis are of the form 0, y. Coordinate of origin is 0, 0. The sign of x and y-coordinates in each of the quadrant is shown below:.

The distance between any two points P x 1 , y 1 and Q x 2 , y 2 in the plane is given by, Also the distance of the point P x 1 , y 1 from the origin is. The coordinates of the point P x, y which divides the line segment joining the points A x 1 , y 1 and B x 2 , y 2 internally in the ratio m 1 : m 2 i.

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