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Byju's Answer
Standard XII
Mathematics
Cofactor
Let x and ...
Question
Let
x
and
a
stand for distance. Show that
∫
d
x
√
a
2
−
x
2
=
1
a
sin
−
1
a
x
dimensionally correct.
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Solution
As x and a stand for distance so dimension on left side
=
[
L
]
/
[
√
L
2
]
=
1
, so left side dimensionless .
On right side,
1
/
[
L
]
=
L
−
1
(as any trigonometric funtions are the ratio of lengths so they are dimensionless )
Hence, dimensions on both sides are not same. So the given equation is not dimensionally correct.
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