Question # 1

What is the value of cos-1(1/2)?

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π/3

π/4

3π/2

π/6

The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

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14 is not a

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Prime number

Whole number

Even number

Real number

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

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1

-1

-1/2

1/2

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Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

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2C

C³

1

0

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Square matrix

Row matrix

Symmetric matrix

Null matrix

The solution set of trigonometric equation contains

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one element

two elements

three elements

Infinite elements

√25 is a number

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Rational

Irrational

Natural

Odd

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

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5

Equal to the moment of the force about origin

0

Cannot be found

The line Ax + By + C = 0 will touch the circle x²+ y²=λ when

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C²=λ(A²+ B²)

A²=λ(A²+ C²)

B²=λ(A²+ C²)

None of these

A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

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A proper fraction

An improper fraction

An equation

An identity

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

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-5

5

0

1

tan(π-θ)=_____;

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tanθ

cotθ

-tanθ

-cotθ

x = ________ is in the solution of 2x - 5 > 0

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0

2

-2

3

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Does not exist because f is unbounded

Is not attained even though f is bounded

Is equal to 1

Is equal to -1

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1

2

3/2

5/2

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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Parabola

Circle

Hyperbola

Ellipse

Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

For a set A, A∪Ac= ---------------------

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A

∅

Ac

U

For two vector a and b, a+b = _______

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a b

b+a

b-a

None

A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

The number of subsets of a set having three elements is

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4

6

8

none of these

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

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-1

0

1

None of these

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2

4

6

8

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