Question # 1

The term involving x⁴in the expansion of (3 - 2x)⁷is

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120

1512

1250

15120

Which of the following us a scalar

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displacement

velocity

acceleration

density

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Null matrix

Triangular matrix

Unit matrix

Rectangular matrix

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f(x) = x3-x/x2+1 is :

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an even function

an odd function

an even and implicit function

neither even nor a odd

an -an-1,∀n∈N∧n>1 in an A.P is called

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Common difference

nth term

Common ratio

None of these

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The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

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additive property

multiplicative property

additive inverse

additive identity

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15

15 i

-15 i

-15

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0

20

90

80

A and B throw a dice. The probability that A's throw is not greater then B's is

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5 / 12

7 / 12

1 / 6

1 / 2

If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0

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a = -10,b=34

a=-5,b=3

a=5,b=3

a=10,b=34

The set (Z,+) forms a group

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Forms a group w.r.t addition

Non commutative group w.r.t multiplication

Forms a group w.r.t multiplication

Doesn't form a group

The third term in the expansion of (1+2x) is

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-2x2

-4x2

2x2

4x2

If the sum of even coefficients in the expansion of (1+x)n is 128 then

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n=7

n=9

n=8

None

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K/6

2K

3K

6K

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1

0

-1

2

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0

1

2

3

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

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p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

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The 60th part of one minute is called

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Degree

Second

Radiam

None of these

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I quadrant

II quadrant

III quadrant

IV quadrant

One root of the equation cos x - x + 1/2 = 0 lies in the interval

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For all points (x,y) on y-axis

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x is positive

x = 0

x is negative

y = 0

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Addition

Subtraction

Multiplication

None of these

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∀a,b,c∈R and c>0,then

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a>b ⇒ ac < bc

a>b ⇒ ac > bc

a<b ⇒ ac > bc

None of these

In R the number of identity element w.r.t '+' is

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One

Two

Three

Four

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1

0

3

-3

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