Question

If the co-ordinate of A is – 4 and that of B is 5, find d(A, B) .

Answer 1

Answer:

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

The coordinates of A and B are x and y respectively. We have, x=−4 and y=−5. We know that −4>−5.

∴ d(A, B)=x−y=−4−(−5)=−4+5=1

Answer 2

SOLUTION

GIVEN

The co-ordinate of A is – 4 and that of B is 5

TO DETERMINE

d(A, B)

EVALUATION

Here it is given that the co-ordinate of A is – 4 and that of B is 5

Since co-ordinates of A and B are of opposite sign

So the points lies in opposite side of the origin

Also 5 > - 4

Hence the required d (A,B)

$\sf = |B - A|$

$\sf = | 5- ( - 4)|$

$\sf = | 5 + 4|$

$\sf = | 9|$

$\bf = 9$

FINAL ANSWER

d(A, B) = 9

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