Question

Find the distance with the help of number line given below:
но A B C D
E
P
M ?
5
3 6
Find d(Q.B)
Q=
B=
2
d(Q.B) = Greater co-ordinate-
3
2
(-5)
d(Q.B) =​

Answer 1

Answer:

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

(i) d(B,E)

(ii) d(J, A)

(iii) d(P, C)

(iv) d(J, H)

(v) d(K, O)

(vi) d(O, E)

(vii) d(P, J)

(viii) d(Q, B)

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Answer

It is known that the distance between the two points is obtained by subtracting the smaller co-ordinate from larger co-ordinate.

(i) The coordinates of points B and E are 2 and 5 respectively. We know that 5>2.

∴ d(B, E) =5−2=3

(ii) The coordinates of points J and A are −2 and 1respectively. We know that 1>−2.

∴ d(J, A) =1−(−2)=1+2=3

(iii) The coordinates of points P and C are −4 and 3 respectively. We know that 3>−4.

∴ d(P, C) =3−(−4)=3+4=7

(iv) The coordinates of points J and H are −2 and −1 respectively. We know that −1>−2.

∴ d(J, H) =−1−(−2)=−1+2=1

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

∴ d(K, O) =0−(−3)=0+3=3

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

∴ d(O, E) =5−0=5

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

∴ d(P, J) = −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