Advertisements
Advertisements
प्रश्न
In what ratio does y-axis divide the line segment joining the points (-4, 7) and (3, -7)?
Advertisements
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
On which axis do the following points lie?
P(5, 0)
Find the centre of the circle passing through (5, -8), (2, -9) and (2, 1).
Show that the points A(5, 6), B(1, 5), C(2, 1) and D(6,2) are the vertices of a square.
Find the value of x such that PQ = QR where the coordinates of P, Q and R are (6, -1), (1, 3) and (x, 8) respectively.
Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:
A(-1,-2) B(1, 0), C (-1, 2), D(-3, 0)
Find the coordinates of the point where the diagonals of the parallelogram formed by joining the points (-2, -1), (1, 0), (4, 3) and(1, 2) meet
The line segment joining the points P(3, 3) and Q(6, -6) is trisected at the points A and B such that Ais nearer to P. If A also lies on the line given by 2x + y + k = 0, find the value of k.
Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in such a way that `(PA)/( PQ)=2/5` . If that point A also lies on the line 3x + k( y + 1 ) = 0, find the value of k.
`"Find the ratio in which the poin "p (3/4 , 5/12) " divides the line segment joining the points "A (1/2,3/2) and B (2,-5).`
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of point C are (0, −3). The origin is the midpoint of the base. Find the coordinates of the points A and B. Also, find the coordinates of another point D such that ABCD is a rhombus.
The perpendicular distance of the P (4,3) from y-axis is
Find the value of a for which the area of the triangle formed by the points A(a, 2a), B(−2, 6) and C(3, 1) is 10 square units.
Write the coordinates of the point dividing line segment joining points (2, 3) and (3, 4) internally in the ratio 1 : 5.
Write the ratio in which the line segment doining the points A (3, −6), and B (5, 3) is divided by X-axis.
If points (a, 0), (0, b) and (1, 1) are collinear, then \[\frac{1}{a} + \frac{1}{b} =\]
Find the point on the y-axis which is equidistant from the points (S, - 2) and (- 3, 2).
The points whose abscissa and ordinate have different signs will lie in ______.
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`.
The coordinates of the point where the line 2y = 4x + 5 crosses x-axis is ______.
