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begin vmatrix 1 a 1 1 1 1 1 b 1 1 1 1 1 c 1 1 1 1
Question:
∣
1
+
a
1
1
1
1
1
+
b
1
1
1
1
1
+
c
1
1
1
1
1
=
d
∣
\begin{vmatrix} 1+a & 1 & 1 & 1 \\ 1 & 1+b & 1 & 1 \\ 1 & 1 & 1+c & 1 \\ 1 & 1 & 1 & 1=d \end{vmatrix}
1
+
a
1
1
1
1
1
+
b
1
1
1
1
1
+
c
1
1
1
1
1
=
d
is equal to
CUET (PG) - 2023
CUET (PG)
Updated On:
Mar 12, 2025
1
a
b
c
d
(
1
+
1
a
+
1
b
+
1
c
+
1
d
)
\frac{1}{abcd}(1+\frac1{a}+\frac1{b} + \frac1{c} + \frac1{d})
ab
c
d
1
(
1
+
a
1
+
b
1
+
c
1
+
d
1
)
abcd(1+a+b+c+d)
a
b
c
d
(
1
+
1
a
+
1
b
+
1
c
+
1
d
)
abcd(1+\frac1{a}+\frac1{b} + \frac1{c} + \frac1{d})
ab
c
d
(
1
+
a
1
+
b
1
+
c
1
+
d
1
)
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The Correct Option is
D
Solution and Explanation
The Correct answer is option (D) :
a
b
c
d
(
1
+
1
a
+
1
b
+
1
c
+
1
d
)
abcd(1+\frac1{a}+\frac1{b} + \frac1{c} + \frac1{d})
ab
c
d
(
1
+
a
1
+
b
1
+
c
1
+
d
1
)
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If
A
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[
−
2
0
0
1
2
3
5
1
−
1
]
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2
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d
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x
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x
lo
g
x
d
x
d
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lo
g
x
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[
1
3
1
k
0
1
1
0
1
]
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1
k
1
3
0
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1
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k
k
k
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∣
a
c
o
s
θ
b
s
i
n
θ
0
−
b
s
i
n
θ
a
c
o
s
θ
0
0
0
c
∣
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a
cos
θ
−
b
s
in
θ
0
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