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
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, Q) + d(Q, R) = d(P, 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)
On a number line, the co-ordinates of P, Q, R are 3, -5 and 6 respectively. State with reason whether the following statement is true or false.
d(R, P) + d(P, Q) = d(R, Q)
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, Q) - d(P, R) = d(Q, R)
Co-ordinates of the pair of a point is given below. Hence find the distance between the pair.
3, 6
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.
- 25, - 47
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.
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 isosceles triangle
A(6, −4), B(−2, −4), C(2, 10)
Show that the following points taken in order to form the vertices of a parallelogram
A(−7, −3), B(5, 10), C(15, 8) and D(3, −5)
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 whose ordinate is 4 and which lies on the y-axis is _______________
Find the distance with the help of the number line given below.
d(J, H)
Find the distance with the help of the number line given below.
d(O, E)
Find the distance with the help of the number line given below.
d(P, J)
