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?
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 = 1, y = 7
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = 6, y = - 2
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = 4, y = - 8
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.
x + 3, x - 3
If A-B-C and d(A, C) = 17, d(B, C) = 6.5 then d(A, B) = ?
Show that the following points taken in order to form an equilateral triangle
`"A"(sqrt(3), 2), "B"(0, 1), "C"(0, 3)`
Show that the following points taken in order to form the vertices of a parallelogram
A(−3, 1), B(−6, −7), C(3, −9) and D(6, −1)
Verify that the following points taken in order to form the vertices of a rhombus
A(1, 1), B(2, 1), C(2, 2) and D(1, 2)
The distance between the two points (2, 3) and (1, 4) is ______
