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Byju's Answer
Standard XII
Mathematics
Properties of Determinants
if Dp = p...
Question
if
D
p
=
∣
∣ ∣ ∣
∣
p
15
8
p
2
55
9
p
3
225
10
∣
∣ ∣ ∣
∣
, then
D
1
+
D
2
+
D
3
+
D
4
+
D
5
is equal to
A
0
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B
25
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C
625
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D
125
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Solution
The correct option is
A
0
D
1
+
D
2
+
D
3
+
D
4
+
D
5
=
∣
∣ ∣
∣
1
15
8
1
55
9
1
225
10
∣
∣ ∣
∣
+
∣
∣ ∣
∣
2
15
8
4
55
9
8
225
10
∣
∣ ∣
∣
+
∣
∣ ∣
∣
3
15
8
9
55
9
27
225
10
∣
∣ ∣
∣
+
∣
∣ ∣
∣
4
15
8
16
55
9
64
225
10
∣
∣ ∣
∣
+
∣
∣ ∣
∣
5
15
8
25
55
9
125
225
10
∣
∣ ∣
∣
=
∣
∣ ∣
∣
1
+
2
+
3
+
4
+
5
15
8
1
+
4
+
9
+
16
+
25
55
9
1
+
8
+
27
+
64
+
125
225
10
∣
∣ ∣
∣
=
∣
∣ ∣
∣
15
15
8
55
55
9
225
225
10
∣
∣ ∣
∣
=
0
, since
C
1
=
C
2
Suggest Corrections
0
Similar questions
Q.
If
D
P
=
∣
∣ ∣ ∣
∣
P
15
8
P
2
35
9
P
3
25
10
∣
∣ ∣ ∣
∣
,
then
D
1
+
D
2
+
D
3
+
D
4
+
D
5
is equal to -
Q.
If
D
p
=
∣
∣ ∣ ∣
∣
p
15
8
p
2
35
9
p
3
25
10
∣
∣ ∣ ∣
∣
, then
D
1
+
D
2
+
D
3
+
D
4
+
D
5
is equal to
Q.
If
1
,
d
1
,
d
2
,
d
3
,
d
4
are roots of
x
5
=
1
then the value of expression :
E
=
ω
−
d
1
ω
2
−
d
1
⋅
ω
−
d
2
ω
2
−
d
2
⋅
ω
−
d
3
ω
2
−
d
3
⋅
ω
−
d
4
ω
2
−
d
4
is
[Here
ω
is the cube root of unity]
Q.
If
d
1
,
d
2
,
d
3
are the diameters of the three escribed circles of a triangle, then
d
1
d
2
+
d
2
d
3
+
d
3
d
1
is equal to
a
△
2
r
2
, then
a
is:
Q.
If distance of
(
−
1
,
2
,
3
)
from x, y, z axis are
d
1
,
d
2
,
d
3
respectively and the distance from xy, yz, zx, planes are
d
4
,
d
5
,
d
6
then the value of
∑
6
i
=
1
d
i
is
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