Plot the points T(4,-2) and V(-2,4) on a cartesian plane. Whether these two coordinates locate the same point?

If the point (0,4) divides the line-segment joining the points (-4,10) and ( 2, 1), internally in a definite ratio , find the coordinate of the point which divide the segment externally in the same ratio.

The points (3, -2) (-2, 8) and (0, 4) are three points in a plane. Show that these points are collinear.

Find the ratio in which the line -segment joining the points ( 2 , 0 , -4) and ( - 4 2 , 6) is divided by the xy - plane. . Also find the coordinates of the point of division .

If the points (1,2) and (2,4) and (t,6) be collinear , find the value of t.

Find the equation of the straight line passing throught the points (-3,4) and (5,-2) , find also the coordinates of the points where the line cuts the coordinate axes.

A straight line is drawn through the point P(2,3) and is inclined at an angle of 30^@ with the x-axis . Find the coordinates of two points on it at a distance 4 from point P.

find the distance of the point (2 , 3 , -4) from the origin. Unsing the same digits state the coordinates of the points having the same distance from the origin .

Plot the points (2,3), (6,3) and (4,7) in a graphsheet. Join them to make it a triangle. Find the area of the triangle.

Find the equation of the plane passing through the point (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5). Also find the coordinates of the foot of the perpendicular and the perpendicular distance of the point (4,0,3) from the above found plane.

A point with y-coordinate 5 lies on the line-segment joining the points ( 1 , 4 , -3) and (4 , 7 , - 6) , find the coordinates of the point .