Question # 1

If |a x b|2 + (a,b)2 = _____

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|a|2 + |b|2

|a|2- |b|2

|a|2|b|2

None

What is the axis of the parabola y²= 4ax?

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x = 0

y = 0

x = a

y = 0

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1

0

5

2

The law of sines is

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An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =

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1 / 11

2 / 11

3 / 11

6 / 11

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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If x,y are two positive distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

What is the period of 6 sin x=?

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π

-π

π/2

2π

The constant distance of all points of the circle from its centre is called the

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Radius of the circle

Secant of the circle

Chord of the circle

Diameter of the circle

The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

Which one is a pair of allied angles

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(180° -θ)

(180° -θ,180° +θ)

(180° +θ)

None of these

1/3 is a decimal

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Recurring

Terminating

Non-terminating

None of the above

One minute is denoted by

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1⁰

1'

1"

None of these

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The roots of the equation x2 +6x-7=0,are

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1

2

1 and -7

-7

y=-a is the equation of the directrix of

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y2 =4ax

x2=-4ay

x2=4ay

y2=-4ax

If f(x) = x²-x then f(1) is

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0

1

2

3

For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

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0.2647

0.2692

0.3647

None of these

(7, 9) + (3, -5) =

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(4, 4)

(10, 4)

(9, -5)

(7, 3)

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

A non-terminating, non-recurring decimal represent

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A natural number

A rational number

An irrational number

A prime number

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

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