Question # 1

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

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Addition

Multiplication

Division

Subtraction

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

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Circle

Hyperbola

Ellipse

Pair of straight lines

If A is singular then |A| = ______

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1

0

2

None of these

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If a +b +c =0 then which of the following is true

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a =b =c =0

a,b =b,c =c,a

a xb=b xc =c xa

None

An equation which hold good for all values of the variables is called

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Identity

fraction

mixed form

Partial equation

The range of y=x2 + 1 is the set of non-negative real numbers except

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0≤ y < 1

0 < y < 1

0≤ y≤ 1

0 < y≤1

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(-1, 2)

(-1, 1)

(1, 2)

{-1}

For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

If a_n= 2n -3, write the first four terms

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-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

The conjugate of √5 i is

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√5

-√5 i

i

5i

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

∀x, y ∈ R, either x = y or x > y or x < y is

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Transitive property

Reflexive property

Trichotomy property

None of these

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

The roots of the equation 4x - 3.2x+2 + 32 = 0 would include

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1 and 3

1 and 4

1 and 2

2 and 3

The series obtained by adding the terms of a geometric sequence is called

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Infinite series

Arithmetic series

Geometric series

Harmonic series

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

Intersection of two parabolas

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parabola

Two points

Four points

Hyperobla

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f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

The number of the diagonals of a 6 sided figure is

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15

21

9

6

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(a + b)c = ac + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b +c) = ab + ac

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Every prime number is also

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Rational number

Even number

Irrational number

Multiple of two numbers

If Z = (1,2), then Z^-1= ?

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(0.2, 0.4)

(-0.2, 0.4)

(0.2, -0.4)

(-0.2, -0.4)

The distance between the points (2,3) and (3,2) is

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5

2

10

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A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

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73 / 120

83 / 120

67 / 120

43 / 120

Through how many radians does the hour hand of a clock turn in one hour

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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

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

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x is function of y

y is a function of x

y is independent variable

x is real valued function

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