Question # 1

Which of the following is closure property w.r.to multiplications:

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a + b∈ R∀ a, b∈ R

a. b∈ R∀ a, b∈ R

a + b = b + a∀a,b∈ R

a.b = b.a∀a,b∈ R

H.C.F of x²-4 and 2x²+x-6:

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(x-2)

(x+2)

(2x-3)

(x+2)(2x-3)

A rectangular region can be divided in two or more trianglar regions by _____ ways:

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One

Two

Three

Four

Factors of 3x-3a + xy - ay are:

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(y+3)(x-a)

(y+3)(x+a)

(3+y)(x-a)

(3-y)(a-x)

LCM of a²+b² and a⁴-b⁴ is:

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a²+b²

a²-b²

a⁴-b⁴

a-b

The entries presented in vertical way are called _______

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Columns

Diagonals

Row

Order

The degree of 2x⁴y³+x²y²+8x is:

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4

3

7

8

Bisection means to divided the parallelogram into ______ triangles:

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5

4

3

2

Which is order of square matrix

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2-by-2

-by-2

2-by-1

3-by-2

The value of i^{9 is:}

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1

-1

i

-i

Point (-5,3) lies in quadrant:

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I

II

III

IV

Product of cube roots of unity is:

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0

1

-1

3

How many tangents can be drawn from a point outside it ?

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1

2

3

4

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1

Ange inscribed in a semi-circle is a _________ angle:

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Abtuse

Right

Supplementary

Acute

A circle has only one:

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Secant

Chord

Diameter

Centre

The nature of roots depends on the value of:

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-b+4ac

b²+4c

b²-4ac

-b+4ac²

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An identity

An equation

A faction

None of these

The straight line that bisect the circle is called:

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Sector

Radius

Diameter

Segment

An arc which is shorter than the half of the circumference is called:

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minor arc

major arc

segment

semi arc

Line segment joining any point of the circle to the centre is called:

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Circumference

Diameter

Radial segment

Perimeter

If ⁿP₂ = 30 then n = :

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5

6

2

3

Sum of all three cube roots of unity is:

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1

-1

0

3

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all of these

The range of principal tangent function is:

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A reference angle Θ is always:

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If sin Θ + cosec Θ = 2, then sin² Θ + cosec² Θ =

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2

4

0

8

The number of diagonals of a polygon with n sides is:

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none of these

If α, ß are complex cube roots of unity, then 1 + αⁿ + ßⁿ = .......... where n is a positive integer divisible by 3:

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1

3

2

4

The multiplicative identity of real numbers is:

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0

1

2

-1

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none of these

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0

i

-i

1

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