Question # 1

The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

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1

1/2

0

None

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The law of consines

The law of sines

The law of tangents

None of these

cos (α+β) + cos (α-β) =

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4 cosαcosβ

2 cosαcosβ

2 sinαsinβ

2 sinαcosβ

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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

64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?

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z

x

y

x and y

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplication identity

If you are looking a high point from the ground, then the angle formed is

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Angle of elevation

Angle of depression

Right angle

Horizon

What is the conjugate of -6 -i

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-6 +i

6 + i

-6 -i

6 -i

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A^-

A^t

-A

A

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

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none of these

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x³- x²+ x + c

6x - 2 + c

x³- 2x + c

Number of combination of zero or more things out of n different things

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nPn

nPr

nCr

2n

The eccentricity e of an ellipse is always

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Rational

Real

Irrational

Integer

Through how many radians does the minute hand of a clock turn in one hour

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

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70^ο

50^ο

90^ο

60^ο

Two quadratic equation in which xy term is missing and the coefficients of x²and y²are equal, give a linear equation by ______

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Addition

Subtraction

Multiplication

Division

i¹⁰¹=

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i

i²

-i

-1

The point _________ is in the solution of the inequality 2x + 3y < 5

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(1,1)

(2,2)

(0,1)

(0,2)

In any triangle ABC,with usual notationαsinβ =____;

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b sinα

bsinβ

αsinα

None of these

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0

-2

1

4

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5

15

10

20

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Singular

Non-singular

Adjoint

None of above

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The line joining the center of a circle to the midpoint of the chord is

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Perpendicular to the tnagent

Perpendicular to the normal

Perpendicular to the chord

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cot x + c

tan x + c

-cot x + c

-tan x + c

A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

The contra positive of p → q is

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q → p

~q→~q

~p→~q

None of these

1⁰= ______

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360'

60"

60'

3600'

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