Question # 1

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z is purely imaginary

a is any complex number

z is real

None of these

The term involving x⁴ in the expansion (3-2x) is

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217x⁴

15120x⁴

313x⁴

-25x⁴

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

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0

5

6

10

The multiplicative inverse of -1 in the set {1-,1} is

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1

-1

±1

0

Does not exist

f(x) = 2^x+ 3 . 2^2x+ 5 is

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trigonometric function

algebraic function

exponential function

logarithmic function

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

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The equation of the chord of the circle x²+ y²- 4x = 0 whose mid-point is (1, 0) is

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y = 2

y = 1

x = 2

x = 1

When rational fraction is separated into partial fractions, the result is

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an identity

A fraction

A partial sum

Improper fraction

The period of 3 sin x is

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2π

9π

3π

5π

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

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if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

cos (α+β) + cos (α-β) =

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4 cosαcosβ

2 cosαcosβ

2 sinαsinβ

2 sinαcosβ

The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

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Angle of depression

Angle of elevation

Acute angle

Obtuse angle

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quadrant I

quadrant II

quadrant III

quadrant IV

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a^xIn a + c

a^x+ c

x a^x+ c

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The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

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Cos 2x = sin 4y

Cos 4y = cos 2x

Cos 3y = sin 4x

None of these

√2 +√3 +√5) = (√2 +√3 +√5: this property is called

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associative property w.r.t addition

commutative property

Closure property w.r.t addition

Additive identity

The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

If a,b c are sides of a triangle taken in order then a x b =

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b x c

b x a

cxa

Both a & b

The multiplicative inverse of 0 is

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1

-1

0

Does not exist

The root of the quadratic equation are

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3

2

1

4

Cos (cos4π/3)=

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π/2

π/3

2π/3

-π/3

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

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