Question # 1

45° = ______

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If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

Range of cotθis

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(+∞to -∞)

(-1 to +1)

(-5 to +5)

Set of even numbers only

The range of the principle cot function is

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0

undefined

The equation of the circle with centre (h, k) and radius r is

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(x+ h)²+ (y+ k)²= r²

(x+ h)²+ (y - k)²= r²

(x - h)²+ (y+ k)²= r²

(x - h)²+ (y - k)²= r²

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

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Which of the following is a quadrantal angle

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100°

200°

170°

270°

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0

1

2

3

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

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x is function of y

y is a function of x

y is independent variable

x is real valued function

The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is

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(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t to adition

tan (π-θ) = ______

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- sinθ

- tanθ

- cosθ

- cotθ

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real part of z

imaginary part of z

conjugate of z

modulus of z

The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is

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32

16

18

8

A square matrix A for which A^t= A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

The square root of every incomplete square is an

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Rational numbers

Even numbers

odd numbers

Irrational numbers

√-1 b=

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b

2

2b

None of these

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

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- cos x

sin x

- sin x

sec x

Which of the following has the same value as i¹¹³?

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i

-1

-i

1

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

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5

Equal to the moment of the force about origin

0

Cannot be found

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3/4

r

v

None of these

The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

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4

64

8

All values of k

A square matrix A = [aij] is lower triangular matrix when:

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aij = 0 for all i < j

bij = 0

cij = 0

dij =0

If A and B are two sets then any subset R of A x B is called

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relation on A

relation on B

relation from A to B

relation from B to A

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

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2 x 3

3 x 2

2 x 5

5 x 2

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