The line segment joining the points a 2 1

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The line segment joining the points A (2,1) and B (5,–8) is trisected at the points P and Q such that P is nearer to A. If P also lies on line give by 2x - y + k = 0, find the value of k.

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SOLUTION IS IN THE ATTACHMENT

Coordinate geometry is the branch of mathematics which deals with the position of an object lying in a plane.

Each  point in cartesian plane has two coordinates X coordinate and Y coordinate.
The X co-ordinate is called the abscissa.
The Y co-ordinate is called the ordinate.

Coordinates X and Y taken together are called coordinates of a point. (x,y) is called an ordered pair.

SECTION FORMULA:
Coordinates of point are :
[(m1x2 + m2x1)/m1+m2 ,( m1y2 + m2y1)/m1+m2]

HOPE THIS WILL HELP YOU...

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