The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is
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Find the ratio in which the point P(43,125) divides the line segment joining the points A(21,53) and B(2,−5).
Show that the following points are collinear.A(−5,1),B(5,5) and C(10,7).
Find the area of the quadrilateral whose vertices, taken in order, are (−4,- 2), (−3,- 5), (3,- 2) and (2,3)˙
Find the distance between the points:P(asinα,acosα) and Q(acosα,−asinα).
A train travels at a certain average speed for a distance of 54 km and then travels a distanceof 63 km at an average speed of 6 km/h more than the first speed. If it takes 3 hours tocomplete the total journey, what is its first speed?
The line segment joining A(−2,9) and B(6,3) is a diameter of a circle with centre C. Find the coordinates of C.
Find the centre of a circle passing through the points (6,−6),(3,−7) and (3,3).
If the vertices of ΔABC be A(1,−3),B(4,p) and C(−9,7) and its area is 15 square units, find the values of p.