Advertisements
Advertisements
Question
Find the distance between the following pair of points
(3, −9) and (−2, 3)
Solution
Distance between the two points (3, −9) and (−2, 3)
= `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
= `sqrt((-2 - 3)^2 + (3 + 9)^2`
= `sqrt((-5)^2 + (12)^2`
= `sqrt(25 + 144)`
= `sqrt(169)`
= 13 units
APPEARS IN
RELATED QUESTIONS
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = -4, y = -5
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.
-9, -1
Determine whether the given set of points are collinear or not
(a, −2), (a, 3), (a, 0)
The abscissa of a point A is equal to its ordinate, and its distance from the point B(1, 3) is 10 units, What are the coordinates of A?
The point (x, y) is equidistant from the points (3, 4) and (−5, 6). Find a relation between x and y
Let A(2, 3) and B(2, −4) be two points. If P lies on the x-axis, such that AP = `3/7` AB, find the coordinates of P.
If the points A(2, 0), B(– 6, 0), C(3, a – 3) lie on the x-axis then the value of a is _____
Find the distance with the help of the number line given below.
d(P, C)
Find the distance with the help of the number line given below.
d(J, H)