Question # 1

An improper rational fraction can be reduced by division to a

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Proper fraction

Polynomial

mixed form

tan270° =__________;

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0

1

-1

Undefined

Area bounded between the curve xy=2 and the lines x=1 and x=2

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ln2 square units

ln√2 square units

ln4 square units

Square units

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

The roots of (x - a)(x - b) = ab x2 are always

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Real

Depends upon a

Depends upon b

Depends upon a and b

The eccentricity of ellipse becomes zero, then it takes the form of:

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a parabols

a straight line

a circle

None of these

If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____

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12

8

24

-24

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additive property

multiplicative property

additive inverse

additive identity

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-1

1

2

-2

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an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

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Free vector

Null vector

Unit vector

None of these

A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

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b cotαtanβ

b tanαtanβ

b tanαcotβ

None of these

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The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

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f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

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1

-1

0

None of these

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Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

The square matrix A is skew Hermitian when (A)'=

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A

A'

-A

A

The distance of the point (-2 , -3) from y-axis is

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2

-2

3

-3

For each real number, there is a number which is its

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Negative

Possitive

Opposite

Similar

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

A quadratic equation in x is an equation that can be witten in the form

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ax²+ b = 0

ax³ +b²+c=0

ax² +bx+c=0

ax³ +bx³+cx=0

The square root of 2i - 20i is

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±(5 - 2i)

±(5+ 2i)

(5 - 2i)

None of these

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-sinθ

cosθ

sinθ

-cosθ

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