Question # 1

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

graph of sine function is bounded between lines

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y± 1 = 0

x± 1 = 0

x± y - 0

None of these

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2

-1

8

not defined

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5x^{4 + c}

1/6 x⁶+ c

5x²+ c

1/5 x⁶+ c

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I andII quadrants

II andIII quadrants

II andIVquadrants

none of these

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

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26

7

21

Cannot be determined

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}

If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

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1

0

3

-3

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

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There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

The condition for ax2 + bx c to be expressed as the product of linear polynomials is

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b4 - 4ac =0

b4- 4ac ≥0

b4- 4ac <0

b4= 4ac

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

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- x

Infinite set

Φ

{-4,4}

The maximum value of sinθcosθis

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1

1/2

1/4

1/6

There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

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If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is:

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an ellipse

a circle

a parabols

a hyperbola

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Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:

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10

5

0

20

The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at

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(acos a,asin a)

(a,0)

(cos a,sin a)

(0,0)

The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45^𝜊.The height of the tower is

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37m

97m

101m

70m

If cos (2 sin-1 x) = 1/9 , then what is the value of x?

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1/3

-2/3

2/3

2/3 , -2/3

sin (2π-θ)

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cosθ

sinθ

tanθ

-sinθ

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

The conic is a parabola, when:

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ᵨ > 1

ᵨ < 1

ᵨ = 1

ᵨ = 0

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Three right angles is the angle of measure

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270°

180°

90°

270'

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