Advertisements
Advertisements
Question
If the point C(k,4) divides the join of A(2,6) and B(5,1) in the ratio 2:3 then find the value of k.
Solution
Here, the point C(k,4) divides the join of A(2,6) and B(5,1) in ratio 2:3. So
`k = (2xx5+3xx2)/(2+3)`
`=(10+6)/5`
`=16/5`
Hence , `k = 16/5`.
APPEARS IN
RELATED QUESTIONS
On which axis do the following points lie?
Q(0, -2)
Which point on the x-axis is equidistant from (5, 9) and (−4, 6)?
Find the points of trisection of the line segment joining the points:
(3, -2) and (-3, -4)
The points (3, -4) and (-6, 2) are the extremities of a diagonal of a parallelogram. If the third vertex is (-1, -3). Find the coordinates of the fourth vertex.
Find the ratio in which the line segment joining (-2, -3) and (5, 6) is divided by x-axis Also, find the coordinates of the point of division in each case.
Find the points on the y-axis which is equidistant form the points A(6,5) and B(- 4,3)
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
If the point P(k-1, 2) is equidistant from the points A(3,k) and B(k,5), find the value of k.
Find the coordinates of the circumcentre of a triangle whose vertices are (–3, 1), (0, –2) and (1, 3).
The distance of the point P (4, 3) from the origin is
If the points P, Q(x, 7), R, S(6, y) in this order divide the line segment joining A(2, p) and B(7, 10) in 5 equal parts, find x, y and p.
If \[D\left( - \frac{1}{5}, \frac{5}{2} \right), E(7, 3) \text{ and } F\left( \frac{7}{2}, \frac{7}{2} \right)\] are the mid-points of sides of \[∆ ABC\] , find the area of \[∆ ABC\] .
Find the distance between the points \[\left( - \frac{8}{5}, 2 \right)\] and \[\left( \frac{2}{5}, 2 \right)\] .
What is the distance between the points A (c, 0) and B (0, −c)?
If points (a, 0), (0, b) and (1, 1) are collinear, then \[\frac{1}{a} + \frac{1}{b} =\]
If A(4, 9), B(2, 3) and C(6, 5) are the vertices of ∆ABC, then the length of median through C is
Which of the points P(-1, 1), Q(3, - 4), R(1, -1), S (-2, -3), T(-4, 4) lie in the fourth quadrant?
If the coordinates of the two points are P(–2, 3) and Q(–3, 5), then (abscissa of P) – (abscissa of Q) is ______.
Point (3, 0) lies in the first quadrant.
In which ratio the y-axis divides the line segment joining the points (5, – 6) and (–1, – 4)?