Question # 1

sin(π/2+θ) = _______;

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sinθ

cosθ

-sinθ

-cosθ

sin 2 α=

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If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:

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Parallel to each other

Perpendicular to each other

Inclined at 60^o

neither parallel nor perpendicular

(1, 1) is the in the solution of the inequality

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3x + 4y > 3

2x + 3y < 2

4x = 3y > 5

2c - 3y > 2

Range of 2 tan x is ______

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[-2, 2]

-1 < x < 1

R

None of these

Each point of the feasible region is called

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Solution

feasible solution

Both a & b

None

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Closure law of addition

Closure law of multiplication

Commutative law of addition

Commutative law of multiplication

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

The slope of the normal at (5 cos, 0, 5 sin 0) to the circle. x²+y² = 25 is:

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tan𝜽

cos𝜽 /sin𝜽

-cot𝜽

- tan𝜽

The line l is horizontal if

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m is undefined

m=0

m=1

m=0-1

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

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(4,4)

(10,4)

(9,-5)

(7,3)

Roots of the equation 2x²- 7x + 3 = 0 are

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Rational

Irrational

Complex

None of these

(a^-1)^-1=

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a^-1

a

-a

None of above

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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(2.02)4 s equal to

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16

16.6496

17

18

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

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x

y

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

∫Sec² (ax + b) dx is equal to:

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tan² (ax + b)

1/a tan² (ax + b)

1/atan (ax +b)

tan (ax + b)

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y : x

x : y

-y : x

-x : y

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

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-3

-7

1

0

A stationary point x is a relative exterma of y= f(x) is

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f′′ (x) > 0

f′′ (x) < 0

f′′ (x) ≠ 0

f′′(x) = 0

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

sin (α -β)=

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sinαcosβ- cosαsinβ

sinαcosβ+ cosαsinβ

sinαcosα- cosβsinβ

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-1

0

1

undefined

Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =

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3

1

2

4

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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