Find the value of y for which the points A(−3,9),B(2,y) and C(4,−5) are collinear.
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If the coordinates of the mid-points of the sides of a triangle are (3,4),(4,6)and(5,7),find its vertices.
If the points P(x,y) is equidistant from the points A(5,1) and B(−1,5), prove that 3x=2y.
Find the coordinates of the point which divides the join of (−1,7) and (4,−3) in the ratio 2:3.
A(6,1),B(8,2) and C(9,4) are the vertices of a parallelogram ABCD. If E is the midpoint of DC, find the area of ΔADE.
Find the distance between the points:A(9,3) and B(15,11).
If the centroid of ΔABC having vertices A(a,b),B(b,c) and C(c,a) is the origin, then find the values of (a+b+c).
The centres of those circles which touch the circle, x2+y2−8x−8y−4=0, externally and also touch the x-axis, lie on :
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