Question # 1

If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder

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7

-2

6

1

Which of the following sets has closure property w.r.t. addition

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{ 0 }

{ 1 }

{ 0, -1}

{ 1, -1}

Name the property used in 1000 x 1 = 1000

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additive inverse

multiplicative inverse

additive identity

multiplicative identity

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ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

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30°

60°

45°

None of these

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1

5

7

9

If t is the parameter for one end of a focal chord of the parabola y²= 4ax, then its length is

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If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

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f(x) = x²

f(x²) = x

f(x) = x

none of these

Unit vector in the positive direction of x-axis is

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Improper rational fraction

Rational fraction

Proper rational fraction

None of above

Any point, where f is neither increasing nor decreasing and f(x) = 0 at that point, is called a

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Minimum

Maximum

Stationary point

Constant point

i³ =

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-1

i

-i

1

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0

1

2

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The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

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2 : 1

3 : 1

1 : 2

1 : 3

sin (2π-θ)

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cosθ

sinθ

tanθ

-sinθ

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System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

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tan 3x + c

cot 3x + c

- cot 3x + c

Period of Cotangent function is

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π

-π

0

-2π

The graph of y> 0 is the upper - half of:

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y-axis

x-axis

1st and 4th quandrant

2nd and 3rd quadrant

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A

A'

U

U'

If all members of a sequence are real numbers then it is called

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A.P

Real Sequence

G.P

None of these

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a

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Square

Rhombus

Rectangle

Parallelogram

A circle passing through the vertices of any triangle is called

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Circumcirle

Incircle

Escribed circle

Unit circle

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

The set of even prime numbers is

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(2,4,6,8,10}

{2,4,6,8,10,12}

{1,3,5,7,9}

{2}

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