Question # 1

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

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π / 3

π / 4

π / 2

π

π is the ration of

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Area of a circle to its diameter

Area of a circle to its radius

Circumference of a circle to its diameter

Circumference of circle to its radius

Domain of 1+cot2θ=csc2θ is

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[0,π]

R-{x/x=nπ,n∈ z}

(-∞,+∞)

[-1,1]

(x3-1/x)12

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295

495

395

722

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Addition

Subtraction

Multiplication

None of these

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N

r

2r

π

Which of the following is a scalar

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weight

force

speed

momentum

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2x - 3x + c

x²- 3x + c

The distance of the point (-2, -3) from the origin is

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2

-5

-3

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8

9

10

11

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

If (1+x)ⁿ=C₀+ C₁x +C₂x²+ ......+C_nx¹then C₀C₂+ C₁C₃+ C₂C₄+ .....+C_n-2C_n=

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The area bounded by y = x (x2 - 4) and below x - axis is

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4

0

-4

8

A point of a solution regions where two of its boundary lines intersect, is called:

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

Period of 3 sin x is ______

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1

7

4

None of these

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

The sum of all positive integral multiple of 5 less than 100 is

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950

760

1230

875

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I

14 I

0

None of these

sin (sin^-1(1/2))=

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0

2

∞

1/2

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

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The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

If a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

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

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

0! = ______

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0

1

2

Not defined

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