English
Maharashtra State BoardSSC (English Medium) 10th Standard

Find distance between point A(7, 5) and B(2, 5) - Geometry Mathematics 2

Advertisements
Advertisements

Question

Find distance between point A(7, 5) and B(2, 5)

Sum
Advertisements

Solution

Let A(x1, y1) = A(7, 5) and B(x2, y2) = B(2, 5)

∴ By distance formula,

d(A, B) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

= `sqrt((2- 7)^2 + (5 - 5)^2`

= `sqrt((-5)^2 + 0^2)`

= `sqrt(25)`

= 5 cm

∴ The distance between points A and B is 5 cm.

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Co-ordinate Geometry - Q.1 (B)

RELATED QUESTIONS

An equilateral triangle has two vertices at the points (3, 4) and (−2, 3), find the coordinates of the third vertex.


If the point A(x,2) is equidistant form the points B(8,-2) and C(2,-2) , find the value of x. Also, find the value of x . Also, find the length of AB.


Find the relation between x and y if the point M (x,y) is equidistant from R (0,9) and T (14 , 11).


Find the coordinates of O, the centre passing through A( -2, -3), B(-1, 0) and C(7, 6). Also, find its radius. 


Prove that the points (1 ,1),(-4 , 4) and (4 , 6) are the certices of an isosceles triangle.


Prove that the points (0,3) , (4,3) and `(2, 3+2sqrt 3)` are the vertices of an equilateral triangle.


Find the distance between the following pair of points:

`(sqrt(3)+1,1)` and `(0, sqrt(3))`


Find the distance between the origin and the point:
(-5, -12)


Find the co-ordinates of points on the x-axis which are at a distance of 17 units from the point (11, -8).


Find the coordinates of the points on the y-axis, which are at a distance of 10 units from the point (-8, 4).


A point P (2, -1) is equidistant from the points (a, 7) and (-3, a). Find a.


If the point (x, y) is at equidistant from the point (a + b, b – a) and (a-b, a + b). Prove that ay = bx.


The distance between points P(–1, 1) and Q(5, –7) is ______


Find distance between point A(–1, 1) and point B(5, –7):

Solution: Suppose A(x1, y1) and B(x2, y2)

x1 = –1, y1 = 1 and x2 = 5, y2 = – 7

Using distance formula,

d(A, B) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

∴ d(A, B) = `sqrt(square +[(-7) + square]^2`

∴ d(A, B) = `sqrt(square)`

∴ d(A, B) = `square`


Show that the points (0, –1), (8, 3), (6, 7) and (– 2, 3) are vertices of a rectangle.


The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure is ______.


If the distance between the points (4, P) and (1, 0) is 5, then the value of p is ______.


The distance between the points A(0, 6) and B(0, –2) is ______.


If the point A(2, – 4) is equidistant from P(3, 8) and Q(–10, y), find the values of y. Also find distance PQ.


Show that Alia's house, Shagun's house and library for an isosceles right triangle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×