Advertisements
Advertisements
प्रश्न
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)
पर्याय
True
False
Advertisements
उत्तर
This statement is True.
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(R, P) + d(P, Q)
= 3 + 8
But d(Q, R) = 11
So, d(R, P) + d(P, Q) = 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 = - 3, y = 7
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = -4, y = -5
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) = ?
If P - Q - R and d(P, Q) = 2, d(P, R) = 10, then find d(Q, R).
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.
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
(1, 2) and (4, 3)
Find the distance between the following pair of points
(a, b) and (c, b)
Show that the following points taken in order to form an equilateral triangle
`"A"(sqrt(3), 2), "B"(0, 1), "C"(0, 3)`
Verify that the following points taken in order to form the vertices of a rhombus
A(3, −2), B(7, 6), C(−1, 2) and D(−5, −6)
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)
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
The distance between the two points (2, 3) and (1, 4) is ______
If (x + 2, 4) = (5, y – 2), then the coordinates (x, y) are _____
Find the distance with the help of the number line given below.
d(B, E)
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(O, E)
