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Byju's Answer
Standard IX
Mathematics
Representation of Irrational Numbers on the Number Line
Arrange the s...
Question
Arrange the steps of representing
√
2
on the number line in proper order.
A
(3) - (1) - (2)
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B
(3) - (2) - (1)
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C
(1) - (2) - (3)
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D
(1) - (3) - (2)
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Solution
The correct option is
A
(3) - (1) - (2)
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Similar questions
Q.
To represent
√
6
on the number line, we first consider a △OAB with OA = 1 unit, AB = _____ unit(s) in length, given that OA and AB are perpendicular to each other.
Q.
The number
2
is shown on a number line. Steps are given to show
3
on the number line using
2
. Fill in the boxes properly and complete the activity.
Activity:
∙ The point Q on the number line shows the number ........
∙ A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.
∙ Right angled ∆ ORQ is obtained by drawing seg OR.
∙ l(OQ) =
2
, l(QR) = 1
∴ by Pythagoras theorem,
[l(OR)]
2
= [l(OQ)]
2
+ [l(QR)]
2
=
0
2
+
0
2
=
0
+
0
=
0
∴ l(OR) =
0
Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number line
3
.