Question # 1

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

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p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

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2x - 3x + c

x²- 3x + c

θ and 2kπ+θ are the ________ angles

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Quadrantal angles

Coterminal

Allied

None

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

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A = C

A = B

B = C

None of these

If a_n= 2n -3, write the first four terms

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-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

The roots of the equation 4x - 3.2x+2 + 32 = 0 would include

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1 and 3

1 and 4

1 and 2

2 and 3

How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

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8!

5!3!

5!

20

(x + 3) (x + 4) = x²+ 7x + 12 is ______

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Quadratic equation

Linear equation

Cubic equation

Identity

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a²b²c²

4a²b²c²

4abc

None

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

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If n is odd then the middle terms in the expansion of (a + x)ⁿare

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If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

For any positive integer n

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ABn = Bn A ⇔ AB = BA

ABn = Bn A⇔ A,B are square matrices and AB = BA

ABn = BnA⇔ A + B

ABn = BnA ⇔ A and B are square matries

sin(π+θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

The distance between the points (2,3) and (3,2) is

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5

2

10

[i,j,k]

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0

2

1

-2

A square matrix all of whose elements except the main diagonal are zeros is called a

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Null matrix

Singular matrix

Symmetric matrix

Diagonal matrix

graph of sine function is bounded between lines

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y± 1 = 0

x± 1 = 0

x± y - 0

None of these

By expressing sin 125° in terms of trigonometrical ratios, answer will be

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sin 65° = 0.9128

sin 55° = 0.8192

sin 70° = 0.5384

sin 72° = 0.1982

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

If f(x) = x²-x then f(0) is

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0

1

2

3

The line joining the center of a circle to the midpoint of the chord is

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Perpendicular to the tnagent

Perpendicular to the normal

Perpendicular to the chord

sin(a + β)+sin(a -β) =_____;

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2cosa cosβ

2sina cosβ

2cosa sinβ

-2sina sinβ

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