Question # 1

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Every real number is

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A complex number

A rational number

A natural number

A prime number

The number of different ways of describing a set is

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One

Two

Three

Four

The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

If eccentricity of ellipse becomes zero then it takes the form of

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A parabola

A circle

A straight line

None of these

The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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n if n is even

0 for any natural number n

1 if in odd

None of these

The range of y = cot x = ______

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-∞> y > +∞

-∞> x > +∞

-∞ <y < +∞

None of above

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

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(a - c)²= b²- c²

(a - c)²= b²+ c²

(a + c)²= b²- c²

(a + c)²= b²+ c²

s > t then

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(s - t)²> (t - s)²

(s - t)²< (t - s)²

(s - t)²= (t - s)²

None

If S is a sample space and event set E =Φ then P(E) is

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>0

1

<1

0

If circumference of circle is divided into 360 congruent parts the angle subtended by one part at the centre of circle is

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1 degree

1 second

1 minute

1 radian

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1

-1

5

2

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

If p and q are two statements then their conjunction is denoted by

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A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

Cos (α+β) - cos (α-β) =

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-2 sinα sinβ

2 sinαcosβ

-2 sinαcosα

4 sinα cosβ

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

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e^x+ c

e^-x+ c

x e^x+ c

not possible

Cot 45° = ______

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1

2

-2

If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then

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p = -14

p = -1

p =0

p=12

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

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3

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5,3

5,-3

5,0

10,0

The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is

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0

1

-1

h

Which of the following has the same value as i113

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i

-1

-i

1

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Additive property of inequality

Commutative property

Additive inverse

Additive identity

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