Plot the points P(1,0),Q(4,0), and S(1,3). Find the coordinates of the point R such that PQRS is a square.

A point R with x-co-ordinate 4 lies on the line segment joining the points P(2,-3,4) and Q(8,0,10). Find the co-ordinate of the point R.

A point R with x-coordinate 4 lies on the line segment joining the points P(2, -3, 4) and Q (8, 0, 10). Find the coordinates of the point R. [Hint Suppose R divides PQ in the ratio k :1. The coordinates of the point R are given by ((8k+2)/(k+1), (-3)/(k+1), (10k+4)/(k+1)) .

In fig. trianglePQR is an equilateral triangle with points Q(-3,0) and R(3,0). Find the coordinates of the vertex P.

ABCD is a parallelogram. If the points A , B and C are respectively : (0,0), (2,2),(1,3) Find the coordinates of the point D.

Plot the points A(1,-1) and B(4,5) Extend this lines segment and write the coordinates of a point on this line, which lies outside the line segement AB.

Let the opposite angular points of a square be (3,4) and (1,-1) . Find the coordinates of the remaining angular points.

Show that the points : P (1, 2), Q (5, 4), R (3, 8) and S (-1, 6) are the angular points of a square PQRS.

Find the coordinates of the foot of perpendicular drawn from the point A(1, 8, 4) to the line joining the points B(0, -1, 3) and C(2, -3, -1). Hence find the image of the point A in the line BC.

Plot the points P ( P,7(,Q(5,5)R(5,0) and S (1,0) on the cartesian plane and answer the following questions . Which points lie on x - axis

A man starts from the point P(−3,4) and reaches at point Q(0,1) touches x-axis at point R such that PR+RQ is least then position of point R is (a) (3/5,0) (b) (-3/5,0) (c) (-2/5,0) (d) (-2,0)