Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = 6, y = - 2
If P - Q - R and d(P, Q) = 2, d(P, R) = 10, then find d(Q, R).
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
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.
- 25, - 47
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’
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.
Show that the point (11, 2) is the centre of the circle passing through the points (1, 2), (3, −4) and (5, −6)
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 two points (2, 3) and (1, 4) is ______
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(J, A)
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)
