Question # 1

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

If sinθand cosθare the roots of the equation ax²- bx + c = 0, then a, b, c satisfy the relation

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b²- a²= 2ac

A²- b²= 2ac

A²+ b²= c²

B²+ a²= 2ac

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Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

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The law of consines

The law of sines

The law of tangents

None of these

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The period of sin x/2 = Cos x/3 is

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2p

12p

13p

7p

A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

The sets {1, 2, 4} and {4, 6, 8, 10} are

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Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

A and B be two square matrices and if their inverse exist, the (AB)^-1=

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

For any integer k, wⁿ= ______ when n = 3k

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1

2

0

-4

If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is

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Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always

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Positive

Negative

Real

None of these

All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is

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NAAGI

NAAIG

IAANG

INAGA

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The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

What is the conjugate of -6 -i

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-6 +i

6 + i

-6 -i

6 -i

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Period of cosec x is ______

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perpendicular vectors

parallel vectors

concurrent vectors

none of these

sinα=

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2 sinαcosα

2 sinαcosβ

2 sinα/2 cosα/2

1+ tan²α/2

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0

1

-1

none of these

5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

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36 square units

3 square units

6 square units

18 square units

The nth term of an A.P is (3n+5) Its 75th term is

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26

7

21

Cannot be determined

In a triangle if a > 45°,β > 30° then y cannot be

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90°

100°

10°

120°

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