Question

1. Find the distances with the help of the number line given below. ​

Answer 1

The co-ordinates of points B and E are 2 and 5 respectively. We know that 5 > 2.

... d(B, E) = 5-2= 3

The co-ordinates of points J and A are -2 and 1 respectively. We know that 1 > -2.

:. d(J,A) =1-(-2) =1+2= 3

The co-ordinates of points P and C are -4 and 3 respectively. We know that 3 > -4.

.. d(PC) =3- (-4) = 3 +4=7

The co-ordinates of points J and H are -2 and -1 respectively. We know that -1 > -2.

.. d(J, H) =- 1-(-2) =- 1+2=1

The co-ordinates of points K and O are -3 and 0 respectively. We know that 0 > -3.

.. d(K, 0) =0 - (-3) = 0+3=3

The co-ordinates of points O and E are 0 and 5 respectively. We know that 5 > 0.

.. d(0, E) = 5- 0= 5

The co-ordinates of points P and J are -4 and -2 respectively. We know that -2 > -4.

.. d(PJ) =- 2- (-4) =- 2+4=2

(viii) The co-ordinates of points Q and B are -5 and 2 respectively. We know that 2 > -5. .. d(Q, B) =2-(-5) =2+5=7

Answer 2

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To call a dimensional quantity ‘large’ or ‘small’ is meaningless without specifying a standard for comparison”