Question # 1

a.a^-1 = a^-1.a = 1 is a

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Commutative law of multiplication

Multiplicative identity

Associative law of multiplication

Multiplicative inverse

Domain of y = scs x is

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All real numbers except π/2 + n*π

R

All negative integers

None of these

The exact degree value of the function sin-1( -√3/2) is

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70^ο

50^ο

90^ο

60^ο

The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is

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2:3

-2:3

3:2

-3:2

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0

1

-1

undefined

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

The set R is ........w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

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The distance between the points A(3,1) and B(-2,-4) is

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5

25

10

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Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0

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Touch externally

Touch internally

Intersects each other

Do not intersects

y=0 of the parabola y² = 4ax is the

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equation of directirx

Equatio of the tangent

Equation of axis

equation of latus rectum

Arithmetic mean between 14 and 18 is

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16

17

15

32

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

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An empty set

Universal set

A singleton set

None of these

The system of measurement in which the angle is measured in degrees, minutes and seconds is called the

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circular system

CGS system

sexagesimal system

none of these

The roots of (x - a)(x - b) = ab x2 are always

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Real

Depends upon a

Depends upon b

Depends upon a and b

A and B be two square matrices and if their inverse exist the (AB)-1 =

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A-1 B-1

AB-1

A-1B

B-1A-1

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x = _________ is in the solution of 2x + 3 < 0

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0

2

-1

-2

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

x²+ x - 5 = 0 is

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A polynomial

An inequality

An identity

None

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

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2

5

7

None of these

The length of perpendicular from (3,1) to 4x +3y +20 =0 is

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6

7

3

8

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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If ∀a,b ε R,then a +b ε R is a property

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

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R

2R

r

2r

G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

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