Advertisements
Advertisements
प्रश्न
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)
पर्याय
True
False
Advertisements
उत्तर
This statement is False.
Explanation:
The co-ordinates of points P, Q and R is 3, −5 and 6 respectively.
We know that 3 > −5
∴ d(P, Q) = 3 − (−5)
∴ d(P, Q) = 3 + 5
∴ d(P, Q) = 8
We know that 6 > −5
∴ d(Q, R) = 6 − (−5)
∴ d(Q, R) = 6 + 5
∴ d(Q, R) = 11
We know that 6 > 3
∴ d(P, R) = 6 − 3
∴ d(P, R) = 3
∴ d(P, Q) - d(P, R)
= 8 - 3
= 5
But d(Q, R) = 11
So, d(P, Q) - d(P, R) ≠ d(Q, R)
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 = -4, y = -5
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = -3, y = -6
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 A- B - C and l(AC) = 11, l(BC) = 6.5, then l(AB) = ?
Find d(A, B), if co-ordinates of A and B are -2 and 5 respectively.
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.
- 4, 5
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.
x + 3, x - 3
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
(a, b) and (c, b)
A(−1, 1), B(1, 3) and C(3, a) are point and if AB = BC, then find ‘a’
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 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 ______
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(P, J)
