Question # 1

Which of the following is a factor of x³- 3x²+ 2x - 6

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x + 2

x + 3

x - 3

x - 4

The set of complex numbers forms a group under the binary operation of

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Addition

none of these

Division

Subtraction

Onto function is also called

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Binjective function

Injective function

Surjechive function

None of these

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The sum of first 60 natural numbers is

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1830

3660

1640

1770

A quadratic equation in x is an equation that can be witten in the form

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ax²+ b = 0

ax³ +b²+c=0

ax² +bx+c=0

ax³ +bx³+cx=0

The area of the circle centred at (1,2) and passing through (4,6) is

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30 πsq.units

5π sq.units

15π sq.units

25π sq.units

If S = {3,6,9,12.......}, then

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S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

3x + 4 > 0 is

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equation

inequality

identity

none of these

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

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1

-1

0

None of these

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

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The tangents drawn from the point P to a circle are real and coincident if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

What is the number of elements of the power set of { }

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0

1

2

3

If 2x^1/3+ 2x^-1/3= 5, then x is equal to

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1 or -1

2 or 1/2

8 or 1/8

4 or 1/4

The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are

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Free vector

Null vector

Unit vector

None of these

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6x - 2 + c

x³- x²+ x + c

6x - x²+ c

6x³- x²+ c

The domain of the principle sine function is

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The symbol ______ shall be used both for equation and identity

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(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

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p < r

p > rr

p + r < 0

p - r < 0

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = 1

X = -2, y = 1

X = 2, y = -1

X = 2, y = 2

Root of the equation 3^x-1+ 3^1-x= is

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2

1

0

-1

The area enclosed between the graph y = x²-4x and the x- axis is:

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20/3

41/3

32/3

25/3

The set of points {(x,y)|y = f(x),∀x∈} is called

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Relation

Graph of f

Function

All are correct

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2

0

The area of a sector with central angle of 0.5 radians in a circular region whose radius is 2m is

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