Question # 1

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

A subset of set of complex number whose elements are of the form (a,0) is called

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Real number

Complex number

Rational number

Irrational number

tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

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1.5

1.2

8

None of these

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There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

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In the interval 0≤ x ≤ π, the sine is

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Not a function

Not defined

Infinity

Not one-to-one function

Every prime number is also

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Rational number

Even number

Irrational number

Multiple of two numbers

If 2x^1/3+ 2x^-1/3= 5, then x is equal to

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1 or -1

2 or 1/2

8 or 1/8

4 or 1/4

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2C

C³

1

0

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n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

If the exponent in the binomial expansion is 6, then the middle term is

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2nd term

3rd term

4th term

5th term

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

14 is not a

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Prime number

Whole number

Even number

Real number

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

E-radius corresponding to < B is

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The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is

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3

2

1

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The general equation of a circle is

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If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is:

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an ellipse

a circle

a parabols

a hyperbola

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

The product of complex numbers (a,b) and (c,d) is

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(ac, bd)

(ac-bd, ad+bc)

(ab,cd)

(ac+bd,ad-bc)

∀x,y,z ∈ R and z 0,then

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x > y ⇒ xz > yz

x<y ⇒ xz < yz

x < y ⇒ xz > yz

None of these

If the sum of two unit vectors is a unit vector the the magnitude of their difference is

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√2

√3

1

None of these

The perpendicular bisector of any chord of a circle

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Passes through the centre of the circle

Does not pass through the centre of the circle

May or may not pass through the centre of the circle

None of these

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