Question # 1

If there is one-one correspondence between A and B, then we write.

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A = B

A⊆ B

A⊇ B

A ∼ B

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

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1-1 and onto

Bijective

1-1 and into

None of these

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Rational

Irrational

Natural

Odd

The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2π] is

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0

1

2

3

The sum of all 2 digit number is

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4750

3776

4895

4905

The sum of all positive integral multiple of 5 less than 100 is

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950

760

1230

875

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1

-1

What is the period of sin 2x/3 cos 4x=?

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π

2π

π/2

π/3

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2

-3/2

1

0

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

None of these

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No solution

One real solution

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a parabola

a circle

an ellipse

a pair of lines

Two circle x² + y²+2x - 8 = 0 and x² + y² -6 + 6x -46 =0:

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touch internally

do not intersect

touch externally

None of these

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

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2 : 1

3 : 1

1 : 2

1 : 3

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The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

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A

B

U

None of these

Period of Tangent function is

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0°

-π

π

2π

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If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

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-1

0

1

undefined

If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is

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an ellipse

a hyperbola

a circle

a parabola

The set X is

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Proper Subset of X

Not A subset of X

Improper Subset of X

None of these

If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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x³- x²+ x + c

6x - 2 + c

x³- 2x + c

sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

Multiplicative inverse of 0 is

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0

1

±1

Does not exist

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

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