Question # 1

The set {1,-1, i, -i} form a group under

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Addition

Multiplication

Subtraction

None

The upper 3/4 the portion of a vertical pole subtends an angle tan^-13/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is

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20 m

40 m

60 m

80 m

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I and III quadrants

II and III quadrants

I and II quadrants

II and IV quadrants

There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

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cos 2x + c

- cos 2x + c

tan 2x + c

cot 2x + c

We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

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2^x

2^xIn x

2^xIn 2

If in a set of real no a is multiplicative identity then

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a,a = a²

a,a = 1

a,a = 0

None of these

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For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is

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2

3

4

1

If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is

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x²+ Sx - P = 0

x²- Sx + P = 0

x²- Sx - P = 0

X²+ Sx + P = 0

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f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

A fraction in which the degree of the numerator is less than the degree of the denominator is called

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Polynomial

Equation

Proper fraction

Improper fraction

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

Sin^-1(-x)=

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Cos^-11/x

- Sin^-1X

Cot^-1X

None of these

Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

cot(3π/2 -θ)=______;

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tanθ

cotθ

-tanθ

-cotθ

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π / 3

π / 4

π / 2

π

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

The law of cosines reduces to a2 +c2 =b2 for

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α = 90°

β = 90°

γ = 90°

α +β +γ =180°

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none of these

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N

r

2r

π

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-8

8

8i

32

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

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