Q. 14.3( 215 Votes )
Find the coordinates of the point which divides the join of (–1, 7) and (4, –3) in the ratio 2: 3
Answer :
If (x1, y1) and (x2, y2) are points that are divided in ratio m:n then,
Let D(x, y) be the required point.
Now,
Using the section formula, we get

x = 1
y =
y = 3
Therefore, the point is (1, 3)
Rate this question :






















If A(1,5), B (-2,1) and C(4,1) be the vertices of ΔABC and the internal bisector of ∠A meets BC and D, find AD.
KC Sinha - MathematicsThe line segment joining A(6,3) to B(-1,-4) is doubled in length by having half its length added to each end. Find the coordinates of the new ends.
KC Sinha - MathematicsIf the points (10,5),(8,4) and (6,6) are the mid-points of the sides of a triangle, find its vertices.
KC Sinha - MathematicsThe line segment joining A (2,3) and B(-3,5) is extended through each end by a length equal to its original length. Find the coordinates of the new ends.
KC Sinha - MathematicsIf the middle point of the line segment joining (3,4) and (k,7) is (x,y) and 2x+2y+1=0, find the value of k.
KC Sinha - Mathematics