Advertisements
Advertisements
Question
Find the coordinates of the point which divides the line segment joining (−1,3) and (4, −7) internally in the ratio 3 : 4
Advertisements
Solution
We have A (−1, 3) and B (4,−7) be two points. Let a point P(x, y) divide the line segment joining the points A and B in the ratio 3:4 internally.
Now according to the section formula if point a point P divides a line segment joining `A(x_1, y_1)` and B`(x_2, y_2)` in the ratio m: n internally than,
P(x,y) = ((nx_1 + mx_2)/(m+n), (ny_1 + my_2)/(m+n))
`= (8/7,-9/7)`
Therefore, co-ordinates of point P is `(8/7,-9/7)`
APPEARS IN
RELATED QUESTIONS
If the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k − 1, 5k) are collinear, then find the value of k
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 co-ordinates of the point equidistant from three given points A(5,3), B(5, -5) and C(1,- 5).
Show hat A(1,2), B(4,3),C(6,6) and D(3,5) are the vertices of a parallelogram. Show that ABCD is not rectangle.
Find the coordinates of the midpoints of the line segment joining
A(3,0) and B(-5, 4)
The line segment joining A( 2,9) and B(6,3) is a diameter of a circle with center C. Find the coordinates of C
If the points A(4,3) and B( x,5) lie on the circle with center O(2,3 ) find the value of x .
In what ratio does the point C (4,5) divides the join of A (2,3) and B (7,8) ?
Find the possible pairs of coordinates of the fourth vertex D of the parallelogram, if three of its vertices are A(5, 6), B(1, –2) and C(3, –2).
Mark the correct alternative in each of the following:
The point of intersect of the coordinate axes is
The abscissa of any point on y-axis is
Show that ΔABC, where A(–2, 0), B(2, 0), C(0, 2) and ΔPQR where P(–4, 0), Q(4, 0), R(0, 2) are similar triangles.
Find the distance between the points \[\left( - \frac{8}{5}, 2 \right)\] and \[\left( \frac{2}{5}, 2 \right)\] .
What are the coordinates of origin?
The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio ______.
The distance of the point P(2, 3) from the x-axis is ______.
Find the coordinates of the point whose abscissa is 5 and which lies on x-axis.
In which quadrant, does the abscissa, and ordinate of a point have the same sign?
Assertion (A): The point (0, 4) lies on y-axis.
Reason (R): The x-coordinate of a point on y-axis is zero.
