Question # 1

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is

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116 m

200 m

216 m

None of these

The distance of the point (2, -3) from x-axis is

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-2

-3

2

3

A second degree equation in which coefficients of x²and y²are equal and there is no product therm xy represents:

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a parabola

a circle

an ellipse

a pair of lines

Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

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1

2

-2

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

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{3,2,5}

{1,3,9}

{-1,-2,-3}

{3,9,19}

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Reflexive property

Symmetric property

Transitive property

Additive property

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x = sin^-13, then the value of sin x is

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√(3/2)

3

Not possible

-1

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

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56

7

8

8/7

The value of the expression sinθ+ cosθlies between

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The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

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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

-2 -a

None of these

Additive inverse of - a - b is

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a

-a + b

a - b

a + b

If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =

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-i -15j

i-15j

i-3j

None of these

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G.P

H.P.

A.P.

No particular sequence

a + x is ______

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A trinomial

A binomial

A monomial

None of these

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36

360

24

6

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Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

The√ is used for the

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Positive square root

Negative square root

+ve and -ve square root

Whole number

The polynomial x - a is a factor of the polynomial f(x) if and only if

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f(a) is positive

f(a) is negative

f(a) = 0

None of these

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

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