For what value of x are the points A(−3,12), B(7,6) and C(x,9) collinear?
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In what ratio does the line x -y - 2 = 0 divides the line segment joining (3, -1) and(8, 9) ?
You have studied in Class IX, that a median of a triangle divides it into two triangles of equal areas. Verify this result for ΔABC whose vertices are A(4,−6),B(3,−2) and C(5,2).
Points P, Q and R in that order are dividing a line segment joining A(1,6) and B(5,−2) in four equal parts. Find the coordinates of P, Q and R.
If Q(0,1) is equidistant from P(5,−3) and R(x,6), find the values of x. Also find the distances QR and PR.
Find the coordinates of the point which divides the join of A(−5,11) and B(4,−7) in the ratio 7:2.
In each of the following find the value of k, for which the points are collinear.(i) (7,−2),(5,1),(3,k)(ii) (8,1),(k,−4),(2,−5)
If the point (x,y) be equidistance from the point (a+b,b−a) and (a−b,a+b) , prove that bx=ay.
Write down the coordinates of each of the following points A,B,C,D and E.