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UPSC CDS 2 2021 Math Paper
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© examsnet.com
Question : 3
Total: 100
Let
p
be the area of the square
X
and
q
be the area of the square formed on the diagonal of the square
X
. What is the value of
p
q
?
1
8
1
4
1
3
1
2
Validate
Solution:
👈: Video Solution
Let length of the side of the square
X
be a unit.
Then,
p
=
(
a
)
2
=
a
2
.
.
.
(i)
The length of the side of the bigger square
=
The length of diagonal of square
X
=
√
2
a
∴
q
=
(
√
2
a
)
2
=
2
a
2
... (ii)
Now,
p
q
=
a
2
2
a
2
[
from Eq. (i) and Eq. (ii)
]
p
q
=
1
2
© examsnet.com
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