Question # 1

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

The number of points of intersection of two curves y = 2 sin x and y = 5x²+ 2x + 3 is

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0

1

2

None of these

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4

3

2

1

The maximum value of sinθcosθis

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1

1/2

1/4

1/6

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Associate law of addition

Commutative law of addition

Additive identity

Closure law of addition

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

The directrix of y2 =-4ax is

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y =-a

y = a

x = a

x = -a

The square matrix A is skew-symmetric when At =

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-B

-C

-A

-D

A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

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b cotαtanβ

b tanαtanβ

b tanαcotβ

None of these

A circle passing through the vertices of any triangle is called

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Circumcirle

Incircle

Escribed circle

Unit circle

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8

9

10

11

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The law of sines

The law of consines

The law of tangents

None of these

Range of sec x is ______

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[-1, 1]

R

Negative real numbers

R = {x | -1 < x < 1}

The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is

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120°

30°

130°

45°

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If b²- 4ac is positive then the roots of the equation are

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Real

Imaginary

Positive

Negative

The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is

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none of these

To express a single rational fraction as a sum of two or more single rational fractions which are called

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improper fractions

Partial fractions

mixed form

Polynomials

A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

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The law of sines

The law of consines

The law of tangents

None of these

For all points (x,y) in third quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

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none of these

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i¹⁰¹ =

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i

i²

-i

-1

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The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is

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60𝜊

40𝜊

41𝜊

30𝜊

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The sum of the even coefficients in the expansion (1 + x)ⁿis

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n²

2^n-2

2^n-1

2ⁿ

What is the period of sin 2x/3 cos 4x=?

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π

2π

π/2

π/3

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