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 coordinates of the point which divides the join of A(−1,7) and B(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 coordinates of the points of trisection of the line segment joining the point A(7,−2) and B(1,−5).
The two opposite vertices of a square are (−1,2) and (3,2). Find the coordinates of the other two vertices.
If the points P(−3,9),Q(a,b) and R(4,−5) are collinear and a+b=1, find the values of a and b.
Find the ratio in which the point (2, y) divides the line segment joining the points A (-2, 2) and B (3, 7). Also find the value of y
If the points A(x,y),B(3,6)andC(−3,4)are collinear, show that x−3y+15=0
Find the relation between x and y if the points A(x,y),B(−5,7) and C(−4,5) are collinear.