Question # 1

If origin is the mid point of (a,3) and (5,b) then

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

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

A sequence is a function whose domain is

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N

Subset of N

R

None of these

(a^-1)^-1=

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a^-1

a

-a

None of above

The solution of the equation cos²θ+ sinθ+ 1 = 0 lies in the interval

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120° degrees are equal to how many radians?

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The fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

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p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

Range of cot x is ______

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[-1, 1]

R

Negative real numbers

R - {x | - 1 < x < 1}

The real number system contains.

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Positive Numbers

Negative numbers

Zero

(option a, b and c)

3/4 is ______

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An odd number

An even number

A natural number

A rational number

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Set of whole number

Rational Numbers

Complex numbers

Whole numbers

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A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

For Cosine Rule of any triangle ABC, b²is equal to

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a²- c²+ 2ab cos A

a³+ c³- 3ab cos A

a²+ c²- 2ac cos B

a²- c²4bc cos A

A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

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A proper fraction

An improper fraction

An equation

An identity

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

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A rational number

A natural number

An irrational number

An integer

A - B = ______

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The middle term of the expansion (1 + 2x)⁶is ______

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1st term

4th term

2nd term

5th term

(1 - x)³= ______

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1 + 3x + 3x²+ x³

1 + x + x²+ x³

1 - x + x²- x³

1 - 3x + 3x²- x³

A matrix in which the number of rows is not equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

If the terminal rays of an angle falls on any axis then the angle is called

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Allied angle

Acute angle

Standard position

Quadrantal angle

sec (-360°) = ______

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0

1

2

3

A relation in which the equality is true only for some values of the known is called ______

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An identity

An equation

A polynomial

None of these

If the roots of x²+ ax + b = 0 are non-real, then for all real x, x²+ ax + b is

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Negative

Positive

Zero

Nothing can be said

If a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

The period of tan [x/3] is ______

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2π

4π

3π

5π

The maximum value of sin x + cos x is

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cos 315° = ______

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