Question # 1

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none of these

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x²+ 2x + c

(x²+ 2x -1)⁴+ c

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

If in a set of real no a is multiplicative identity then

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a,a = a²

a,a = 1

a,a = 0

None of these

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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H.P.

A.P.

G.P.

None of these

The multiplicative inverse ofx^(-1) is

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x

a-2

0

1

The additive inverse of 1 is

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1

-1

0

Does not exist

6 is

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A prime integer

An irrational number

A rational number

An odd integer

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

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2 x 2

2 x 3

3 x 2

3 x 3

The vertices of the ellipse x²+ 4y²= 16 are

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If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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a^xIn a + c

a^x+ c

x a^x+ c

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

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Constant function

Polynomial function

Identity function

Linear function

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none of these

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A variable

A constant

0

None of these

What is the conjugate of -7 -2i ?

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-7 + 2i

7 +2i

7 -2i

√53

Which one is not defined∀n∈Z+

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-n!

n!

(-n)!

n!+0!=n!+1

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

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2

-3

3

5

What is the period of 5 cot x=?

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π

-π

π/2

2π

2cos2 a/2 =______;

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1+sina

1-sina

1+cosa

1-cosa

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0

1

2

4

Every whole number is

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A real number

An irrational number

A prime number

A negative integer

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

sin^-1 x =

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tan^-1 x

Cosec^-1 x

Cosec x

cosec^-1(1/x)

The solution set of the equation 4 cos²x - 3 + 0 is

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none of these

If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

If cos^-1p + cos^-1q + cos^-1r =πthen p²+ q²+ r²+ 2pqr is equal to

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3

1

2

-1

Which of the following statement is true?

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A set is a collection of non-empty object

A set is a collection of only numbers

a set is any collection of things

a set is well-defined collection of objects

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