Question # 1

The many subset can be formed from the set {a,b,c,d}

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8

4

12

16

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R

2R

r

2r

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0

U

u/2

log u

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∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

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1

-1

The coordinates of a point P(x,y) referred to XY-system are

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(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

Which one is not defined∀n∈Z+

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-n!

n!

(-n)!

n!+0!=n!+1

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The line through the focus and perpendicular to the directrix is called ______ of the parabola

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axis

focal chord

tangent

latus rectum

If #n = (n-5)²+ 5, then find #3 x #4.

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54

12

4

9

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

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Zero

one

negative constant

Non negative constant

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

Area of the triangle whose vertices are (2,3),(0,1),(0,0) is

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6

2

4

1

The range of y = sin x is ______

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[1, -1]

[-1, 1]

[0, -1]

[-∞+∞]

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{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

The value of x and y when (x + iy)2 = 5 - 4i

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x = 2, y = -1

x = -2, y = 1

x = 2, y = -i

x = 2, y = 2

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The feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

Tangent is ...............function

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Inverse

one-one

in-to

Periodic

If Z = (1,2), then Z^-1= ?

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(0.2, 0.4)

(-0.2, 0.4)

(0.2, -0.4)

(-0.2, -0.4)

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sec x tan x

-cosec x cot x

sec²x

-sin x

If (x₁, y₁) and (x₂,y₂) are the end points of a diameter then the centre of the circle is

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For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is

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x- y= 5

x+ y+ =5

x+ y= -5

5x +5y =21

The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

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