Advertisements
Advertisements
प्रश्न
In what ratio does y-axis divide the line segment joining the points (-4, 7) and (3, -7)?
उत्तर
Let y-axis divides the e segment pining the points ( -4,7) and (3,- 7) in the ratio K : 1 Then
`0= (3k-4)/(k+1) `
`⇒ 3k = 4`
`⇒ k = 4/3 `
Hence, the required ratio is 4:3
APPEARS IN
संबंधित प्रश्न
Find a point on the x-axis which is equidistant from the points (7, 6) and (−3, 4).
Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:
A(-3, 5) B(3, 1), C (0, 3), D(-1, -4)
If the poin A(0,2) is equidistant form the points B (3, p) and C (p ,5) find the value of p. Also, find the length of AB.
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
Find the coordinates of the circumcentre of a triangle whose vertices are (–3, 1), (0, –2) and (1, 3).
Find the area of the quadrilateral ABCD, whose vertices are A(−3, −1), B (−2, −4), C(4, − 1) and D (3, 4).
Show that `square` ABCD formed by the vertices A(-4,-7), B(-1,2), C(8,5) and D(5,-4) is a rhombus.
Find the ratio in which the line segment joining the points A(3, −3) and B(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of division.
Find the value of k, if the points A (8, 1) B(3, −4) and C(2, k) are collinear.
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.
If the centroid of the triangle formed by the points (3, −5), (−7, 4), (10, −k) is at the point (k −1), then k =
Point (–3, 5) lies in the ______.
Signs of the abscissa and ordinate of a point in the second quadrant are respectively.
The points (–5, 2) and (2, –5) lie in the ______.
If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has ______.
The point whose ordinate is 4 and which lies on y-axis is ______.
If the points P(1, 2), Q(0, 0) and R(x, y) are collinear, then find the relation between x and y.
Given points are P(1, 2), Q(0, 0) and R(x, y).
The given points are collinear, so the area of the triangle formed by them is `square`.
∴ `1/2 |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)| = square`
`1/2 |1(square) + 0(square) + x(square)| = square`
`square + square + square` = 0
`square + square` = 0
`square = square`
Hence, the relation between x and y is `square`.
Co-ordinates of origin are ______.