Advertisements
Advertisements
प्रश्न
Find the coordinates of the point which divides the line segment joining (−1,3) and (4, −7) internally in the ratio 3 : 4
Advertisements
उत्तर
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
संबंधित प्रश्न
Find a point on y-axis which is equidistant from the points (5, -2) and (-3, 2).
The points A(2, 0), B(9, 1) C(11, 6) and D(4, 4) are the vertices of a quadrilateral ABCD. Determine whether ABCD is a rhombus or not.
If p(x , y) is point equidistant from the points A(6, -1) and B(2,3) A , show that x – y = 3
If the point P (2,2) is equidistant from the points A ( -2,K ) and B( -2K , -3) , find k. Also, find the length of AP.
Find the area of a quadrilateral ABCD whose vertices area A(3, -1), B(9, -5) C(14, 0) and D(9, 19).
Show that the points (−2, 3), (8, 3) and (6, 7) are the vertices of a right triangle ?
If the points A(−1, −4), B(b, c) and C(5, −1) are collinear and 2b + c = 4, find the values of b and c.
Write the perimeter of the triangle formed by the points O (0, 0), A (a, 0) and B (0, b).
Write the ratio in which the line segment joining points (2, 3) and (3, −2) is divided by X axis.
Write the coordinates of the point dividing line segment joining points (2, 3) and (3, 4) internally in the ratio 1 : 5.
If P (x, 6) is the mid-point of the line segment joining A (6, 5) and B (4, y), find y.
The area of the triangle formed by (a, b + c), (b, c + a) and (c, a + b)
If P(2, 4), Q(0, 3), R(3, 6) and S(5, y) are the vertices of a parallelogram PQRS, then the value of y is
A line intersects the y-axis and x-axis at P and Q , respectively. If (2,-5) is the mid-point of PQ, then the coordinates of P and Q are, respectively
Write the equations of the x-axis and y-axis.
Find the point on the y-axis which is equidistant from the points (5, −2) and (−3, 2).
Abscissa of a point is positive in ______.
The perpendicular distance of the point P(3, 4) from the y-axis is ______.
Points (1, –1) and (–1, 1) lie in the same quadrant.
If the coordinate of point A on the number line is –1 and that of point B is 6, then find d(A, B).
