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Q.

On representing $4.5$ on the number line, say which of the following is true.

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a

The distance BD is

4.5

units.

b

BD = BE

c

BC = 1 unit

d

All of the above.

answer is D.

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Detailed Solution

It is given that

4.5

is represented on the number line.
Let us draw a line segment AB of length equal 4.5 units and extend it to C such that BC = 1 unit. Let O be the midpoint of AC, draw a semi-circle with center O and OA as radius. Now, draw a perpendicular line from B to cut the semi-circle at D.
Finally, draw an arc with center B and radius BD meeting AC produced at E.
Hence, the distance BD is

4.5

units, BD = BE and BC = 1 unit.
Hence, all the given statements are true.
Therefore, the correct option is (4).

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