Question # 1

What is the value of cos-1(1/2)?

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π/3

π/4

3π/2

π/6

In R, the additive inverse of a is

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0

1

-a

1/a

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

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3

1

4

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none of these

If cos 20°=K and cos x=2 k²-1, then the possible values of x between 0° and 360° are

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140°

50° and 140°

50° and 130°

40° and 320°

5x³+ 3x - is a ______

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Polynomial of degree 3

Polynomial of degree 2

Polynomial of degree 1

Polynomial of degree 0

Sine is a periodic function and its period is ______

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π

s

2π

4π

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1/x

-x

2x

0.5 x

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2

4

6

8

When the angle between the ground and the sun is 30^𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is

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25m

23m

12m

29m

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The synthetic division method is only used to divide a polynomial by

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quadratic equation

binomial

linear equation

monomial

If all members of a sequence are real numbers then it is called

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A.P

Real Sequence

G.P

None of these

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is

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2

1

0

None of these

For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

If a > 0, b > 0, c > 0, then the roots of the equation ax²+ bx + c = 0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

∀a,b ε R, ab = be is a

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplicative identity

The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

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

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If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is

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ⁿP_m

ⁿC_mx (m - 1) !

^n-1P_m

None of these

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Cos 2x = sin 4y

Cos 4y = cos 2x

Cos 3y = sin 4x

None of these

The distance s of a particle in time t is given by s = t³- 6t²- 4t - 8. Its acceleration vanishes at t =

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1

2

3

4

Two sets A and B are said to be disjoint if

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If distance of (a,b) from y-axis is 2 then

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a = 2

b = 2

a = b

a = 4

The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

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