Question # 1

Which of the following is factor of x11+a11, where n is an odd integer

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x-a

x+a

2x-a

2x+a

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

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all are correct

Area of inscribed circle is

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π R2

π η2

π r22

π r2

The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

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Order

Degree

Variables

All are correct

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An ellipse

A parabola

A circle

A hyperbola

If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

{0} is a

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Empty set

Singleton set

Zero set

Null Set

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5

15

10

20

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

In-radius is denoted by

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r

η

r2

R

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Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

A right angle is the angle of measure

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90'

60°

60"

90°

The inclination of a line parallel to y-axis is

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If the domain of sequence is finite set then the sequence is called

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geometric sequence

infinite sequence

finite sequence

arithmetic sequence

The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

If f(x) = x²then f(0) is

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0

1

2

none of these

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

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The total cost of 2 apples and 3 oranges is $1.70, which of the following is true

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The cost of one apple

The cost of one orange

Both have equal cost per item

Cost of each single item can not be determined

The line y = 2 x + c is a tangent to the parabola y²= 16 x if c equals

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-2

-1

0

2

The condition for ax2 + bx c to be expressed as the product of linear polynomials is

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b4 - 4ac =0

b4- 4ac ≥0

b4- 4ac <0

b4= 4ac

Sin 50°-sin 70°+sin 10° is equal to

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1

0

1/2

2

A person standing on the bank of a river observes that the angle subtended by a tree of the opposite bank is 60°, when he retreats 40 m from the bank, he finds the angle to be 30°. The height of the tree and the breadth of the river are

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The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

Period of Sine and Cosine function is

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π

2π

-π

-2π

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0

1

-1

None

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