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Download WorksheetProve that the points P(0,-1), Q(-2,3) R(6,7) and S(8,3) are the vertices of a rectangle PQRS.
Prove that the points (7,10) (-2,5) and (3, -4) are the vertices of an isosceles right triangle.
The vertices of triangle PQR are P(6,-2), Q(0,-6) and R(4,8). Find the coordinates of mid point of PQ, QR and PR.
Find the point on y axis which is equidistant from the point (5,-2) and (-3,2).
Find the ration in which (11,15) divides the line segment joining (15,5) and (9,20).
Prove that the diagonals of a rectangle PQRS with vertices P(2,-1), Q(5,1), R(5,6) and S(2,6) are equal and bisect each other.
Find the ratio in which the line segment joining the point A(3,-3) and B(-2,7) is divided by x axis. Also find the coordinates of the point of division.
The coordinates of the vertices of triangle PQR are P(7,2), Q(9,10) and R(1,4). If E & F are the mid point of PQ and PR, prove that EF= 1/2 QR.
If the distance of P(x,4) from A(6,2) and B(-2,6) are equal prove that y=2x.
If the coordinate of point P on the line segment joining A(1,2) and B(6,7) such that AP = 2/5 AB.
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