Advertisements
Advertisements
प्रश्न
In what ratio is the line joining (2, -1) and (-5, 6) divided by the y axis ?
उत्तर
Let the point P (0, y) lies on y-axis which divides the line segment AB in the ratio k : 1.
Coordinates of P are ,
0 = `(-5 "k" + 2)/("k" + 1) , "y" = (6"k" - 1)/("k" + 1)`
⇒ 5 k = 2
⇒ k = `2/5`
Hence, the required ratio is 2 : 5.
APPEARS IN
संबंधित प्रश्न
The point P (5, – 4) divides the line segment AB, as shown in the figure, in the ratio 2 : 5. Find the co-ordinates of points A and B. Given AP is smaller than BP.
Find the co-ordinates of the points of tri-section of the line joining the points (–3, 0) and (6, 6).
In the given figure, line APB meets the x-axis at point A and y-axis at point B. P is the point (−4, 2) and AP : PB = 1 : 2. Find the co-ordinates of A and B.
Find the length of the hypotenuse of a square whose side is 16 cm.
Find the coordinate of a point P which divides the line segment joining :
M( -4, -5) and N (3, 2) in the ratio 2 : 5.
A (30, 20) and B ( 6, -4) are two fixed points. Find the coordinates of a point Pin AB such that 2PB = AP. Also, find the coordinates of some other point Qin AB such that AB = 6 AQ.
Find the ratio in which the point `P(3/4, 5/12)` divides the line segment joining the points `A(1/2, 3/2)` and B(2, –5).
The points A(x1, y1), B(x2, y2) and C(x3, y3) are the vertices of ∆ABC. Find the coordinates of the point P on AD such that AP : PD = 2 : 1
Find the ratio in which the x-axis divides internally the line joining points A (6, -4) and B ( -3, 8).
If A and B are (– 2, – 2) and (2, – 4) respectively; then find the co-ordinates of the point P such that `(AB)/(AB) = 3/7`.