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प्रश्न
Show the number √5 on the number line.
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उत्तर
Draw a number line as shown in the figure. Let the point O represent 0 and point Q represent 2. Draw a perpendicular QR at Q on the number line such that QR = 1 unit. Join OR. Now, ∆OQR is a right angled triangle.
By Pythagoras theorem, we have
OR2 = OQ2 + QR2
= (2)2 + (1)2
= 4 + 1
= 5
∴ OR = √5
Taking O as the centre and radius OR = √5, draw an arc cutting the number line at C.
Clearly, OC = OR = √5
Hence, C represents √5 on the number line.
संबंधित प्रश्न
Observe the number line and answer the questions.
- Which number is indicated by point B?
- Which point indicates the number `1 3/4`?
- State whether the statement ‘the point D denotes the number `5/2`’ is true or false.
Evaluate:
`1/(-15) + 5/(-12)`
Evaluate:
`4/(-9) + 1`
Draw a number line and mark
`3/4, 7/4, (-3)/4 and (-7)/4` on it.
Show the following numbers on a number line.
`7/3, 2, (-2)/3`
`-3/4` is smaller than –2.
The rational number `57/23` lies to the left of zero on the number line.
Represent the following rational numbers on a number line:
`3/8, (-7)/3, 22/(-6)`
Find a rational number exactly halfway between:
`(-1)/3` and `1/3`
Find a rational number exactly halfway between:
`5/(-13)` and `(-7)/9`
