Question # 1

an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

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0

1

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If n is any positive integer then n²> n + 3 for

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none of these

The domain of the principle sine function is

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i³ =

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-1

i

-i

1

cos2a=______;

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cos2 a-sin2 a

2cos2 a-1

1-2 sin2 a

All 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

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The law of of sines

The law of tangents

The law of consines

None of these

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Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

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Associative property of addition

Associative property of multiplication

Commutative property of addition

Commutative property of multiplication

The first three terms in the expansion of (1 + x)^-2are ______

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 -2x + 3x²

A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

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57𝜊

-48𝜊

27𝜊

53𝜊

The square roots of negative numbers is called

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Real no

Complex no

Positive no

Negative no

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

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0

5

6

10

The range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

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The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

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1

2

-1

0

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none of these

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In(x²- x + 1) + c

In(2x - 1) + c

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Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

The point of concurrency of the medians of a triangle is called

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incentre

circumcentre

e-centre

centroid

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

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

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

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1 x 1

1 x 10

10 x 10

10 x 1

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