Question # 1

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

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Addition

Division

Subtraction

None of these

If a polynomial P(x) is divided by x + a, then the remiander is

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P(a)

P(-a)

P(0)

None of these

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The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is

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x²+ y²+ z²+ ax + by + cz = 0

x²+ y²+ z²- 2ax - 2 by - 2 cz = 0

x²+ y²+ z²= a + b + c

x²+ y²+ z²- ax - by - cz =0

If | x | < 1, then the first two terms of (1 - x)^1/2are

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An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

A relation in which the equality is true only for some values of the unknown is called

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An identity

An equation

A polynomial

None

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a cot(ax + b) + c

- a cot(ax + b) + c

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A

B

U

None of these

If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =

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4

6

5

3

The geometrical representation of a linear function is

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Circle

Parabola

Straight lie

None of these

1/3 is a decimal

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Recurring

Terminating

Non-terminating

None of the above

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1

2

3/2

5/2

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A function from A to B is denoted by

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f: A→ B

f: B → A

f: → A :B

f → A→ B

Every prime number is also

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Rational number

Even number

Irrational number

Multiple of two numbers

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If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

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2 AB

2 BA

A + B

AB

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

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k3

0

3k

k6

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

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

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8

4

12

16

The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45^𝜊.The height of the tower is

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37m

97m

101m

70m

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 = B

B = C

A≠ C

A ≠ B

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At

-A

A

A-1

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The equation of the circle wit (-1, 1) and radius 2 is

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