Question # 1

sin^-1[-1/2] = ______

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The square root of every incomplete square is an

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Rational numbers

Even numbers

odd numbers

Irrational numbers

Sin-1(-x)=

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x

-x

-sin-1 x

cos-1 x

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-cosec²x

-sec²x

- cosec x cot x

cosec x

The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is

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2:3

-2:3

3:2

-3:2

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Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

The set of integers is a subset of

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The set of natural numbers

The set of whole numbers

The set of prime numbers

The set of rational numbers

One minute is denoted by

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1⁰

1'

1"

None of these

A non-terminating non_recurring decimal represents an

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Irrational no

Both a & c

Rational no

None of these

If cos (2 sin-1 x) = 1/9 , then what is the value of x?

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1/3

-2/3

2/3

2/3 , -2/3

The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is

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1/5

1/4

1/3

1/2

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

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P(x, y) = 20x + 15y

P(x, y) = 2x + 3y

P(x, y) = x + y

P(x, y) = 3x + 2y

The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

ab > 0 and a > 0 then

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a > b

a < b

a = b

None

The product of the four fourth roots of unity is

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0

1

-1

None of these

(a-1)-1 =

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a-1

a

-a

None of above

If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

The point lying on the terminal rat of -270° is

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(1,0)

(0,-1)

(0,1)

(-1,0)

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sin h x = ___________

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A.P.

G.P.

H.P.

None of these

One degree is denoted by

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1⁰

1'

1"

1 rad

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(x³- 3x²)⁸+ c

3x²- 6x + c

πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

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