Question # 1

The fifth term of the sequence a_n= 2n + 3 is ______

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13

-13

8

3

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f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

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In R the left cancellation property w.r.t addition is

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The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

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The law of sines

The law of consines

The law of tangents

None of these

The formula an = arn-1represents

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nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45^𝜊.The height of the tower is

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37m

97m

101m

70m

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

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Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

Domain of sec x is ______

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The equation of the circle with centre (5, -2) and radius 4 is

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(x-5)²+ (y+2)²= 16

(x-5)²+ (y+2)²= 4

(x-5)²+ (y-2)²= 16

(x-5)²+ (y-2)²= 4

If x is an image of y under the function f. This can be written as

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y = f(x)

f(x) = 0

x = f(y)

f(y) =0

The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is

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x + y + z - 15 = 0

x - y + z - 15 = 0

x - y - z - 15 = 0

x + y + z + 15 = 0

The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is

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12^𝜊

9^𝜊

7^𝜊

-120^𝜊

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The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

The set of all positive even integers is

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Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

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none of these

A matrix in which the number of rows is equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

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A

A'

U

U'

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

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

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3

5

-3

-5

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A

B

U

None of these

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