Advertisements
Advertisements
प्रश्न
`" Find the distance between the points" A ((-8)/5,2) and B (2/5,2)`
Advertisements
उत्तर
The given points are ` A ((-8)/5,2) and B (2/5,2)`
Then ` (x_1 = (-8)/5 , y_1 =2 ) and ( x_2 = 2/5 , y_2 = 2)`
Therefore ,
`AB = sqrt((x_2 -x_1)^2 +(y_2-y_1)^2)`
`= sqrt({2/5-((-8)/5)}^2 +(2-2)^2)`
`= sqrt((2)^2 +(0)^2`
`=sqrt(4+0)`
`= sqrt(4)`
= 2 units .
APPEARS IN
संबंधित प्रश्न
Show that the points (a, a), (–a, –a) and (– √3 a, √3 a) are the vertices of an equilateral triangle. Also find its area.
Show that four points (0, – 1), (6, 7), (–2, 3) and (8, 3) are the vertices of a rectangle. Also, find its area
If two vertices of an equilateral triangle be (0, 0), (3, √3 ), find the third vertex
Prove that the points A(1, 7), B (4, 2), C(−1, −1) D (−4, 4) are the vertices of a square.
Find all possible values of x for which the distance between the points
A(x,-1) and B(5,3) is 5 units.
Determine whether the points are collinear.
P(–2, 3), Q(1, 2), R(4, 1)
Find the distance between the following pair of point in the coordinate plane :
(5 , -2) and (1 , 5)
Find the distance between the following pairs of point in the coordinate plane :
(7 , -7) and (2 , 5)
Find the distance of the following point from the origin :
(5 , 12)
Find the distance of the following point from the origin :
(6 , 8)
Find the distance of a point (13 , -9) from another point on the line y = 0 whose abscissa is 1.
Find the point on the x-axis equidistant from the points (5,4) and (-2,3).
Prove that the following set of point is collinear :
(4, -5),(1 , 1),(-2 , 7)
Prove taht the points (-2 , 1) , (-1 , 4) and (0 , 3) are the vertices of a right - angled triangle.
Prove that the points (0 , -4) , (6 , 2) , (3 , 5) and (-3 , -1) are the vertices of a rectangle.
From the given number line, find d(A, B):
Find a point on the y-axis which is equidistant from the points (5, 2) and (-4, 3).
If the distance between point L(x, 7) and point M(1, 15) is 10, then find the value of x
The distance between the points A(0, 6) and B(0, -2) is ______.
|
Tharunya was thrilled to know that the football tournament is fixed with a monthly timeframe from 20th July to 20th August 2023 and for the first time in the FIFA Women’s World Cup’s history, two nations host in 10 venues. Her father felt that the game can be better understood if the position of players is represented as points on a coordinate plane. |
- At an instance, the midfielders and forward formed a parallelogram. Find the position of the central midfielder (D) if the position of other players who formed the parallelogram are :- A(1, 2), B(4, 3) and C(6, 6)
- Check if the Goal keeper G(–3, 5), Sweeper H(3, 1) and Wing-back K(0, 3) fall on a same straight line.
[or]
Check if the Full-back J(5, –3) and centre-back I(–4, 6) are equidistant from forward C(0, 1) and if C is the mid-point of IJ. - If Defensive midfielder A(1, 4), Attacking midfielder B(2, –3) and Striker E(a, b) lie on the same straight line and B is equidistant from A and E, find the position of E.
