Question # 1

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Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

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-a

a +1

-1-a

None of these

Cos^-1 12/13 =

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tan^-1 3/5

cot^-1 13/12

Sec^-1 13/12

sin^-1 5/13

In a school there are 150 students Out of these 80 students enrolled for mathematics class.50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time find the number of students who have taken both physics and mathematics.

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40

30

50

60

A right angle is the angle of measure

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90'

60°

60"

90°

If the circle x²+ y²+ 2gx +2fy + c = 0 passes through the origin then

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c = 0

c = -1

c = -2

c = 1

If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is

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0

abc

1/abc

None of these

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

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0

1

-1

none of these

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Period of 2 cos x is ______

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If (2,0) is the vertex and y-axis is directrix of parabola then focus is

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(2,0)

(-2,0)

(4,0)

(-4,0)

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I quadrant

II quadrant

III quadrant

IV quadrant

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

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1

2

0

4

if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is

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-i

2 + i

i

2 - i

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a₁+ a₂

a²₁+ a²₂

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Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

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A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

Circle x² + y² - 2y -y = 0 and x² + y² - 8y -4 =0:

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Interesect

touch externally

touch internally

do not touch

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0

1

-1

None

Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7

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7 / 40

5 / 40

11 / 40

None of these

If n is not natural number, then the expansion (1 + x)ⁿis valid for

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The process of finding a function whose derivative is given is called a

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Differentiation

Integration

Differential

None

cos (α-β) = cosαcosβ+ sinαsinβis true for all

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α>β> 0

α>β

β>α

None of these

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