Question # 1

Rank of matrix [1 3 5 0] is

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1

3

2

4

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Orthogonal

Involutary

Idempotent

Nilpotent

H.M. between 3 and 7 is

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The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is

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3 x 3

3 x 2

2 x 5

5 x 2

Sum of first n terms of an arithmetic series is

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In R the number of identity element w.r.t '+' is

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One

Two

Three

Four

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

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(a,0) x (c, 0) =

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(0,ac)

(ac, 0)

(0,0)

(a, c)

How many arrangements of the letters of the word MATHEMATICS can be made

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A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

The equation of a line parallel to the tangent to the circle x²+ y²= 16 at the point (2, 3) and passing thro' the origin is

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2x + 3y = 0

2x - 3y = 0

3x + 2y = 0

3x - 2y = 0

∫Sec² (ax + b) dx is equal to:

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tan² (ax + b)

1/a tan² (ax + b)

1/atan (ax +b)

tan (ax + b)

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-1

0

1

None of these

The mid point of the line joining the points P(x₁, y₁) and Q(x₂, y₂) is

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Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is

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{(1, 1), (2, 2), (3, 3)}

{(4, 4), (5, 5), (6, 6)}

{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}

None of these

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

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Constant function

Polynomial function

Identity function

Linear function

The differential equations of all conis whose axes coincide with the co-ordinate axis is

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The number of permutation that can be formed from the letters of the word OBJECT is

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700

600

720

620

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A

B

U

None of these

Domain of 2 cos x is ______

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[-2, 2]

R

Negative real numbers

None of these

The identity element with respect to subtraction is

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0

-1

0 and 1

None of thes

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0

1

-2

10

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A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....

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3.5

3

4

None of these

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

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