Question # 1

The complement of set A relative to universal set U is the set

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none of these

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(-1, 2)

(-1, 1)

(1, 2)

{-1}

(1 + 2x)⁴= ______

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1 + 4x + 6x²+ 4x³+ x⁴

1 - 4x + 6x²- 4x³+ x⁴

1 - 8x + 24x²- 32x³+ 16x⁴

1 + 8x+ 24x²+ 32x³+ 16x⁴

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

If f(x) = x²then f(-2) is

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-2

2

4

-4

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

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2

-5

-3

Which symbolic notation represent unary operation ?

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-

∨

∧

⇔

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If x³+ 4x³- 2x +5 is divided by x - 1, then the reminder is

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8

6

4

None of these

Sine is a periodic function and its period is ______

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π

s

2π

4π

A square matrix A for which A^t= -A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

The distance of the point (2,3) from origin is

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5

2

3

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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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

E-radius corresponding to < A is

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If (2,0) is the vertex and y-axis is directrix of parabola then focus is

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(2,0)

(-2,0)

(4,0)

(-4,0)

The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a

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Square

Parallelogram

Rectangle

Rhombus

The radius of the circle x²+ y² - 6 x + 4 y +13 = 0 , is

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1

2

0

None of these

The span of a standard parabola depends upon

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x

a

y

y2

Which of the following ordered pair is a solution of the inequality x+2y<6?

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(2,3)

(2,2)

(6,0)

(1,1)

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

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∫x/Sin² x dx is equal to:

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x cot x + ln|sin⁡x |

-x cot x - ln|sin⁡x |

x cot x - ln|sin⁡x |

x. tan x- ln|sec⁡x |

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In set builder notation the set {0, 1, 2, ............, 100} can be written as

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xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

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sin h x

cos h x

sec h x

cosec h x

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