Advertisements
Advertisements
Question
The distance between the points (0, 5) and (–3, 1) is ______.
Options
8 units
5 units
3 units
25 units
Advertisements
Solution
The distance between the points (0, 5) and (–3, 1) is 5 units.
Explanation:
Let be point A(0, 5) and B(–3, 1)
x1 = 0, y1 = 5, x2 = –3, y2 = 1
Distance between the points
AB = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
AB = `sqrt((-3 - 0)^2 + (1 - 5)^2`
= `sqrt(9 + 16)`
= `sqrt(25)`
= 5 units
APPEARS IN
RELATED QUESTIONS
If P and Q are two points whose coordinates are (at2 ,2at) and (a/t2 , 2a/t) respectively and S is the point (a, 0). Show that `\frac{1}{SP}+\frac{1}{SQ}` is independent of t.
Using the distance formula, show that the given points are collinear:
(1, -1), (5, 2) and (9, 5)
Show that the points A(1, 2), B(1, 6), C(1 + 2`sqrt3`, 4) are vertices of an equilateral triangle.
If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then ______.
PQR is an isosceles triangle . If two of its vertices are P (2 , 0) and Q (2 , 5) , find the coordinates of R if the length of each of the two equal sides is 3.
A(2, 5), B(-2, 4) and C(-2, 6) are the vertices of a triangle ABC. Prove that ABC is an isosceles triangle.
Given A = (x + 2, -2) and B (11, 6). Find x if AB = 17.
Find the point on y-axis whose distances from the points A (6, 7) and B (4, -3) are in the ratio 1: 2.
Find distance between points O(0, 0) and B(– 5, 12)
The coordinates of the point which is equidistant from the three vertices of the ΔAOB as shown in the figure is ______.
