Advertisements
Advertisements
Question
Co-ordinate of point A on a number line is 1. What are the co-ordinates of points on the number line which are at a distance of 7 units from A?
Advertisements
Solution
The coordinate of point A is 1.
Suppose point B is located at a distance of 7 units to the left of point A, whose coordinate is x.
1 > x d(A, B) = 7
∴ 7 = 1 – x
∴ x = 1 – 7
∴ x = - 6
The coordinate of point B is – 6.
Suppose point C is located at a distance of 7 units to the right of point A, whose coordinate is y.
y > 1 d(A, C) = 7
∴ 7 = y – 1
∴ y = 7 + 1
∴ y = 8
The coordinate of point C is 8.
The coordinates of points situated at a distance of 7 units from point A are - 6 and 8.
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 = 7
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = 4, y = - 8
Sketch proper figure and write the answer of the following question.
If R-S-T and l(ST) = 3.7, l(RS) = 2.5, then l(RT) = ?
Sketch proper figure and write the answer of the following question.
If X-Y-Z and l(XZ) = `3sqrt7`, l(XY) = `sqrt7`, then l(YZ) = ?
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-ordinate of point P on a number line is - 7. Find the co-ordinates of points on the number line which are at a distance of 8 units from point P.
If P-Q-R and d(P, Q) = 3.4, d(Q, R)= 5.7 then d(P, R) = ?
Find the distance between the following pair of points
(3, 4) and (−7, 2)
Find the distance between the following pair of points
(a, b) and (c, b)
Find the distance between the following pair of points
(3, −9) and (−2, 3)
Show that the following points taken in order to form an equilateral triangle
`"A"(2, 2), "B"(-2, -2), "C"(-2sqrt(3), 2sqrt(3))`
Show that the following points taken in order to form an equilateral triangle
`"A"(sqrt(3), 2), "B"(0, 1), "C"(0, 3)`
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.
The radius of a circle with centre at origin is 30 units. Write the coordinates of the points where the circle intersects the axes. Find the distance between any two such points.
The point whose ordinate is 4 and which lies on the y-axis is _______________
The distance between the point (5, −1) and the origin is _________
Find the distance with the help of the number line given below.
d(J, H)
