Advertisements
Advertisements
Question
Find the distance between the following pair of points
(3, 4) and (−7, 2)
Solution
Distance between the points (3, 4) and (−7, 2)
= `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
= `sqrt((-7 - 3)^2 + (2 - 4)^2`
= `sqrt((-10)^2 + (-2)^2`
= `sqrt(100 + 4)`
= `sqrt(104)`
= `sqrt(2 xx 2 xx 13)`
= `2sqrt(26) "units"`
APPEARS IN
RELATED QUESTIONS
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = -3, y = -6
On a number line, co-ordinates of P, Q, R are 3, -5 and 6 respectively. State with reason whether the following statement is true or false.
d(P, R) + d(R, Q) = d(P, Q)
Co-ordinates of the pair of points are given below. Hence find the distance between the pair.
- 4, 5
Co-ordinates of the pair of points are given below. Hence find the distance between the pair.
0, - 2
Co-ordinates of the pair of points are given below. Hence find the distance between the pair.
x + 3, x - 3
Co-ordinates of the pair of points are given below. Hence find the distance between the pair.
- 25, - 47
Co-ordinates of the pair of points are given below. Hence find the distance between the pair.
80, - 85
Determine whether the given set of points are collinear or not
(7, −2), (5, 1), (3, 4)
A(−1, 1), B(1, 3) and C(3, a) are point and if AB = BC, then find ‘a’
Find the distance with the help of the number line given below.
d(P, C)