Question # 1

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1

2

3

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Parallel to the plane

At right angles to the plane

Lies in the plane

Meet the plane obliquely

The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is

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Sum of all the four forth roots of unity is

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1

-1

i

0

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet

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x =0

y =0

x =-9

y = -a

The interval in which f(x)=x3-6x2+9x is increasing

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1<x<3

x<1 and x>3

X ≥1 and x ≤ 3

-∞ < x < ∞

x³+ 2x²- 3x + 5 is ______

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An equation

A polynomial

Proper rational fractions

Improper rational fractions

When rational fraction is separated into partial fractions, the result is

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an identity

A fraction

A partial sum

Improper fraction

The proposition S(n) for any n∈ N is only true if k∈ N and

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

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The law of sines

The law of consines

The law of tangents

None of these

Name the property used in 100 + 0 = 100

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Additive inverse

Multiplicative inverse

Additive identity

Multiplicative identity

The central angle of an arc of a circle whose length is equal to the radius of the circle is called one

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Degree

Second

Minute

Radian

If origin is the mid point of (a,3) and (5,b) then

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

If the roots of ax2 + b =0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0,b > 0

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perpendicular vectors

concurrent vectors

parallel vectors

none of these

If f(√x)=sin x , then f′(x) =______;

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2xcosx2

cosx2

cos√x

None of these

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The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = 1

X = -2, y = 1

X = 2, y = -1

X = 2, y = 2

The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

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Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

If the matrices A and B are conformable for multiplication then (AB)^t= ______

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AB

A^tB^t

B^tA^t

A^tB

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

The unit vector along y-axis is

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none of these

In quadratic equation y=ax³+bx+c, if b and c are both zero then the graph is

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Symmetric w.r.t.y-axis

Symmetric w.r.t.x-axis

Straight Line

Circle

The period of sin x/2 = Cos x/3 is

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2p

12p

13p

7p

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