Question # 1

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

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Constant function

Variable value

Function of upper limit

All

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

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α

c

b

d

A key ring is an example of

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Permutation

Circular permutation

Combination

None

The product of the four fourth roots of unity is

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0

1

-1

None of these

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∛8.6 is approximately equal to

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2.488

2.48

2.0488

2.05

The coefficient of xn in the expansion of (1-2x)-1 is

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(-1)n2n

2n

(-1)(n+1)xr

(n+1)2n

For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

(a+bi) - (c+di)=

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(a+b) = (c+d)

(a+c) + i(b+d)

(a - c) + (c- d)i

(a - c)+ (b - d)i

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n!

0!

1

None of these

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1

2

3/2

5/2

The point (1,3) is one solution of

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3x + 5y > 29

3x + 5y < 7

x + 2y < 4

x + 4y > 3

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0

undefined

Find a if 1 is a root of the equation x²+ ax + 2 = 0

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3

-3

2

0

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(2x4)

(2x7)

(2x3)

(7x2)

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If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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u,v,wand u x (v.w) are

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Equal

Parallel

Additive immense of each other

Meaningless

The solution set of the equation 1 + Cos x = 0 is __________

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none of these

The zero vector is regarded to be parallel to

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Every vector

Is some cases

Both a,b

None

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The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

The fixed point from which all the points of a circle are equidistant is called the

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chord of the circle

centre of the circle

diameter of the circle

radius of the circle

The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

The set of all positive even integers is

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Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

In how many ways can 5 persons be seated at a round table

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5!

4!

3!

120

The expansion of (1 + 2x)^-2is valed if

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

Sin 50°-sin 70°+sin 10° is equal to

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1

0

1/2

2

The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is

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If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is

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