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Delhi University MCA DU Mathematics Previous Year Questions (PYQs) – Page 1 of 9
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Delhi University MCA DU Mathematics Previous Year Questions (PYQs) – Page 1 of 9
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Delhi University MCA
Previous Year Questions
Delhi University MCA
Previous Year Questions
Delhi University MCA
Qus : 1
2
The system of linear equations
has
1
unique solution if λ ≠ 6
2
no solution if λ = 8
3
Infinitely many solution if λ = 6
4
infinitely many solution if λ ≠ 8
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Solution
Qus : 2
2
1
2
2
4
3
- 2
4
- 4
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Solution
Qus : 3
1
Let
z
=
cos
(
2
π
7
)
+
i
sin
(
2
π
7
)
. Then the principal argument of
(
1
−
z
2
―
)
is equal to
1
3
π
14
2
4
π
7
3
11
π
14
4
5
π
7
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Solution
Qus : 4
3
The set of all
λ
∈
R
such that {a
n
} where
a
n
=
λ
2
n
2
+
n
+
1
−
n
,
n
∈
N
, is
1
is an empty set
2
is a singleton set
3
contains exactly two elements 1 and – 1
4
is equal to R
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Solution
Qus : 5
2
1
(a)
2
(b)
3
(c)
4
(d)
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Solution
Qus : 6
4
1
is not diagonalizable
2
is an independent
3
is nilpotent
4
has different minimal and characteristics polynomial
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Solution
Qus : 7
1
The complex number
is the root of the quadratic equation with real coefficients
1
4
2
2
3
4
4
2
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Solution
Qus : 8
2
The locus of the point (α, β) such that the line y = αx + β, become a tangent to the hyperbola 9x
2
- 4x
2
= 36, is
1
a hyperbola with eccentricity √5/2
2
a hyperbola with eccentricity √5
3
an ellipse with length of semi-major axis 3
4
an ellipse with eccentricity √3/2
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Solution
Qus : 9
4
1
2
3
4
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Solution
Qus : 10
3
1
(a)
2
(b)
3
(c)
4
(d)
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Solution
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