Question # 1

If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all

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Real numbers n

Integers n

Positive integers n

None of these

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The law of sines

The law of consines

The law of tangents

None of these

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

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Three unbiased coins are tossed. Then the probabilities of getting two heads is

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3/8

1/8

1/4

None of these

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

3x + 4 = 0 is

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not inequality

equation

identity

inequality

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2x + 3

x²+ 3 + c

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An ellipse slides between two lines at right angles to one another. The locus of its centre is :

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a parabola

an ellipse

a circle

a hyperbola

The set {1,2,3,4......} is called

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Set of natural numbers

Set of whole numbers

Set of rational number

Set of irrational numbers

The synthetic division method is only used to divide a polynomial by

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quadratic equation

binomial

linear equation

monomial

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

The nth term in G.P 3,-6,12,............ is

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25, 20

20, 10

20, 5

15, 10

If a rectangle has an area 81x² and length of 27x. then what is its width?

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3x

9x

3x²

9x²

In the function v = 4/3 π r³, V is a function of

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3/4

r

v

π

The associative angle of 280^o is

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100^o

10^o

80^o

-80^o

If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is

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Dom f(x) ∩ Dom g (x)

Dom f(x) ∪ Dom g(x)

[Domf(x)]² - [Dom g(x)]²

[Dom g(x)]²-[Domf(x)]²

If in isosceles right angled triangle one side is a then hypotenuse is

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a√2

a/2

a

Cannot be determined by given

Sin(a + b) + Sin(a- b) =

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Sin a Cos b

Sin a Sin b

Sin a + Cos b

Sin a - 2Cos b

Let A, B, and C be any sets such that A∪B=A∪C and A∩B=A∩C then

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A ≠ C

B = C

A = B

A ≠ B

A fraction in which the degree of the numerator is less than the degree of the denominator is called

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1-i √-3 / 2

-1+i √-3 / 2i

-1+i √3 / 2

1+i √3 / 2

The end points of the major axis of the ellipse are called its

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foci

Vertices

Co-vertices

eccentricity

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