Question # 1

If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length

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|u+v|

|u|+|v|

|u-v|

|u|-|v|

Which term of the A.P 5,8,11,24.............is 320

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104th

106th

105th

64th

For all points (x,y) in fourth quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

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perpendicular vectors

concurrent vectors

parallel vectors

none of these

A conditional is regarded as false only when the antecedent is true and consequent is

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True

False

Known

Unknown

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

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1 / 2

1 / 3

1 / 4

None of these

Cos^-1 12/13 =

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tan^-1 3/5

cot^-1 13/12

Sec^-1 13/12

sin^-1 5/13

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Closure law of addition

Associative law of addition

Commutative law of multiplication

Associative law of multiplication

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sec x tan x

cos²x

sin²x

sec²x

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

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

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1

-i

i

0

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45°

30°

75°

60°

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1

0

The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0

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Same side

P above and origin below

Opposite side

P below and origin above

The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is

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The set of real roots of the equation log_{(5x + 4)}(2x +3)³- log_{(2x + 3)}(10x²+ 23x + 12) = 1 is

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{-1}

{-3/5}

Empty set

{-1/3}

By expressing sin 125° in terms of trigonometrical ratios, answer will be

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sin 65° = 0.9128

sin 55° = 0.8192

sin 70° = 0.5384

sin 72° = 0.1982

i¹⁰¹ =

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i

i²

-i

-1

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The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:

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y² = -4 ax

x² = 4ay

x² = -4ay

y² = 4ax

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3 x 2

2 x 3

3 x 3

2 x 2

Which of the following is a vector

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length

momentum

volume

speed

A conditional "if p then q" is denoted by

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If y=f(x) is a function then x is called

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dependent variable

independent variable

constant

none of these

sin(180° -θ)=

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cosθ

-cosθ

Tanθ

Sinθ

A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is

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1 / 500

1 / 504

1 / 252

1 / 250

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