Question # 1

Which of the following is the solution of Cot²x = 1/√3

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π/5

π/3

π/7

π/9

0 (zero) is

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A irrational number

A rational number

A negative integer

A positive number

Sin(a + b) + Sin(a- b) =

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Sin a Cos b

Sin a Sin b

Sin a + Cos b

Sin a - 2Cos b

Sum of integers starting from to n is

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n(n+1)/4

n(n+1)/6

n(n+1)/2

n(n-1)/2

If Cosα = 3/5, Cosβ = 5/13, then

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Cos(α +β) =33/65

Sin(α +β) =56/65

sin²(α +β/2) =1/65

Cos(α +β) =63/65

If y = (ax)^m + b^m, then dy/dx equals

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m (ax)^m x^m-1

ma^m x^m-1

m a^m x^m-1

m a^m x^m-2

If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then

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1

ω²

ω

0

Cos^-1 (-x) =_______.

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π +cos^-1 x

π -sin^-1 x

π +sin^-1 x

π -cos^-1 x

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The student enrolled for English cannot attend any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics.

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40

30

50

20

The set { {a,b} } is

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{X/X∈ A∧x ∈ U}

{X/X∉ A∧x ∈ U}

{X/X∈ A and x ∉ U}

A-U

Sin^-1 (-x) =

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Cos^-1 1/x

-Sin^-1 X

1/sin-1x

Sin^-1 1/x

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