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

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If a parabola opens down, then its vertex is at the

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Right of the parabola

Left of parabola

Lowest point on the parabola

Highest point on the parabola

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

sin h x = ___________

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If x < y, 2x = A, and 2y = B, then

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A = B

A < B

A < x

B < y

The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is

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x + y + z - 15 = 0

x - y + z - 15 = 0

x - y - z - 15 = 0

x + y + z + 15 = 0

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-2

-1

1

2

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

If n is any positive integer then 2ⁿ> 2(n + 1) is true for all

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The nth term of an A.P is (3n+5) Its 75th term is

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26

7

21

Cannot be determined

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An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

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

An equation which hold good for all values of the variables is called

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Identity

fraction

mixed form

Partial equation

A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

If one root of the equation x²- 3x + a = 0 is 2 then a = ______

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0

1

2

3

The set {0,-1} hold closure property under

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Addition

Both a & c

Multiplication

None of these

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quadratic function

constant function

linear function

exponential function

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Domain of cos x is ______

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For each natural number n, n (n+1) is

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an even

an odd

multiple of 3

Irrational

The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is

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3

2

1

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If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is

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1

0

-1

2

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

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An identity

An equation

A polynomial

None

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

The coefficient of the second term of (a+b)⁴ is

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1

9

3

5

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