Advertisements
Advertisements
प्रश्न
Find the co-ordinates of the point which divides the join of A(-5, 11) and B(4,-7) in the ratio 7 : 2
उत्तर
The end points of AB are A(-5, 11) and B(4,-7)
Therefore `(x_1=-5, y
_1=11) and (x_2 = 4, y_2 = -7)`
Also, m = 7 and n= 2
Let the required point be p(x,y) .
By section formula, we get
`x = ((mx_2 +nx_1))/((m+n)) , y= ((my_2+ny_1))/((m+n))`
`⇒ x = ({ 7 xx 4 + 2 xx (-5)})/(7 +2) , y = ({ 7xx (-7) + 2 xx11})/(7 +2)` `⇒ x = (28-10)/9 , y = (-49 +22)/9`
`⇒ x = 18/9 , y = -27/9 `
Therefore , x = 2 and y = -3
Hence, the required point are P =(2,-3).
APPEARS IN
संबंधित प्रश्न
Let ABCD be a square of side 2a. Find the coordinates of the vertices of this square when A coincides with the origin and AB and AD are along OX and OY respectively.
Find the centre of the circle passing through (5, -8), (2, -9) and (2, 1).
Find the coordinates of the point which divides the line segment joining (−1,3) and (4, −7) internally in the ratio 3 : 4
In what ratio is the line segment joining the points (-2,-3) and (3, 7) divided by the y-axis? Also, find the coordinates of the point of division.
In what ratio does the point (−4, 6) divide the line segment joining the points A(−6, 10) and B(3,−8)?
Find the ratio in which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8) Also, find the value of m.
The abscissa and ordinate of the origin are
The ordinate of any point on x-axis is
The area of the triangle formed by the points P (0, 1), Q (0, 5) and R (3, 4) is
If (0, −3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.
Find the centroid of the triangle whose vertices is (−2, 3) (2, −1) (4, 0) .
What is the distance between the points (5 sin 60°, 0) and (0, 5 sin 30°)?
What is the area of the triangle formed by the points O (0, 0), A (6, 0) and B (0, 4)?
If the mid-point of the segment joining A (x, y + 1) and B (x + 1, y + 2) is C \[\left( \frac{3}{2}, \frac{5}{2} \right)\] , find x, y.
If the distance between the points (3, 0) and (0, y) is 5 units and y is positive. then what is the value of y?
The perimeter of the triangle formed by the points (0, 0), (0, 1) and (0, 1) is
If the line segment joining the points (3, −4), and (1, 2) is trisected at points P (a, −2) and Q \[\left( \frac{5}{3}, b \right)\] , Then,
f the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (−2, 5), then the coordinates of the other end of the diameter are
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
Find the coordinates of point A, where AB is a diameter of the circle with centre (–2, 2) and B is the point with coordinates (3, 4).
