Question # 1

If Z = (1,2), then Z^-1 =?

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(0.2, 0.4)

(-0.2 ,0.4)

(0.2,-0.4)

(-0.2,-0.4)

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0

-2

1

4

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If x < y, 2x = A, and 2y = B, then

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A = B

A < B

A < x

B < y

The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

In how many ways can 5 persons be seated at a round table

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5!

4!

3!

120

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The value of n, when ⁿP₂= 20 is

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3

4

6

5

The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

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12m

21m

17m

15m

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Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

If ΔABC is right triangle then the law of Cosines reduces to

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The Pythagoras Theorem

The law of Sines

The law of cosines

The law of tangents

For n€ N,2^n>2 > n is to only when

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n<2

n≤ 4

n≥ 4

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cos 2x

2 cos 2x

2 sin2x

-2 cos2x

Second derivative of y = x⁹+ 10x²+ 2x - 1 at x = 0 is

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10

20

12

1

If y = sin (ax + b), then fourth derivative of y with respect to x =

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a⁴cos (ax + b)

a⁴sin (ax + b)

-a⁴sin (ax + b)

a⁴tan (ax + b)

The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is

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(-3,10)

(-3,-10)

(3,10)

(3,-10)

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

In R, the additive identity is

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0

1

-1

None

The harmonic mean between a and b is

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Area of the triangle whose vertices are (2,3),(0,1),(0,0) is

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6

2

4

1

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perpendicular vectors

parallel vectors

concurrent vectors

none of these

u,v,wand u x (v.w) are

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Equal

Parallel

Additive immense of each other

Meaningless

If the roots of ax²- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is

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e^x+ c

e^-x+ c

x e^x+ c

not possible

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11

61

1

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36

360

24

6

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