Question # 1

Additive inverse of - a - b is

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a

-a + b

a - b

a + b

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

tan(π-θ)=_____;

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tanθ

cotθ

-tanθ

-cotθ

(a +bi) -c (c +di) =

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(a +b) = (c +d)

(a +c) + i(b +d)

(a -c) + (c -d)i

(a -c) +(b -d) i

Sand falls from a tube in such a way that it forms a cone whose height is always 4/3 times the radius of its base and radius of the base increases at the rate of 1/8 cm/sec. When this radius is 1 meter, the rate at which the amount of sand increases is

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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

Co-ordinate of a point on the parabola y² = 8x whose focal distance is 4 are:

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(2 , 4)

(-2 ,-4)

(-2, 4)

(2,-4)

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3/4

-3/4

4/3

-4/3

Point (2,0) lies on trigonometric function f(x)=______;

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sinx

cosx

tanx

secx

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5

15

10

20

An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

The distance of the point (1.1) from the origin is

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0

2

The length of perpendicular from (3,1) to 4x +3y +20 =0 is

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6

7

3

8

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

What is the number of elements of the power set of {0, 1}

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1

2

3

4

A square matrix A = [aij] is upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

(a-1)-1 =

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a-1

a

-a

None of above

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both a & c

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5

25

3

The equation of the directrix of the parabola x²= 4ay is

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x + a = 0

x - a = 0

y + a = 0

y - a = 0

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The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is

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1.2%

1.5%

0.16%

100.16%

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sec x tan x

-cosec x cot x

sec²x

-sin x

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1 + tan²x + c

tan x + c

-tan x + c

cot x + c

f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

2cos2 a/2 =______;

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1+sina

1-sina

1+cosa

1-cosa

The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

+-1

0

Domain of sec x is ______

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