Question # 1

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

sin²αcos²α=

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-1

0

1

None of these

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16

256

64

1024

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0

90°

180°

360°

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

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The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to

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-2

2

3

-1

The equation of the circle with centre origin and radius r is

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x²+ y²= 1

x²+ y²= r²

x²+ y²= 0

x²- y²= r²

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

The middle term of the expansion (1 + 2x)⁶is ______

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1st term

4th term

2nd term

5th term

A function in which the variable appears as exponent is called:

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An identity function

A logarithmic function

an exponential function

A rational function

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The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

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Two similar regions

Two disjoint regions

Four equal parts

One region

The square root of every incomplete square is an

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Rational numbers

Even numbers

odd numbers

Irrational numbers

The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is

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14

2

-2

11

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(x, y)

(kx, y)

(x, ky)

(kx, ky)

(1 - x)³= ______

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1 + 3x + 3x²+ x³

1 + x + x²+ x³

1 - x + x²- x³

1 - 3x + 3x²- x³

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

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√2 +√3 +√5) = (√2 +√3 +√5: this property is called

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associative property w.r.t addition

commutative property

Closure property w.r.t addition

Additive identity

The middle term in the expansion of (a +x)¹²is

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7th

8th

9th

6th

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Rule of quotient of fraction

Golden rule of fraction

Rule for product of fraction

Principle for equality of fraction

If A is singular then |A| = ______

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1

0

2

None of these

2x³+ 3x + 9 is a ______

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Polynomial of degree 3

Quadratic equation

Cubic equation

Polynomial of degree 2

Another name of quadratic equation is

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Polynomial

2nd degree polynomial

Linear equation

simaltaneous equations

There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

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8

4

64

The equation ax²+ 2hxy + by²+2gx + 2fy + c =0 represents an ellipse if

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