Question # 1

Tan 360° = _______

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-1

0

1

Undefined

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y + 1 = Ae^x

y + 1 = Axe^x

xe^x= C

y + xe^x= C

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additive property

multiplicative property

additive inverse

additive identity

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

A circle passing through the vertices of any triangle is called ______

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In circle

Circum circle

Escribed circle

None of these

sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

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A rational number

A natural number

An irrational number

An integer

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

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2x cos x2

-2xcosxsinx

2x Sin x2

-Sin x2

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11

61

1

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Polynomial of degree 0

Polynomial of degree 2

Quadratic equation

None of these

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There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

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1

0

Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

A vector with magnitude one is called

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constant vector

unit vector

zero vector

null vector

A relation in which the equality is true for all values of the unknown is called ______

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An identity

An equation

A polynomial

None of these

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n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

The radius of the circle (x - 1)²+ (y + 3)²= 61 is

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8

4

64

None of these

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What is the conjugate of -7 -2i?

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-7 + 2i

7 + 2i

7 -2i

None of these

The mid point of the line joining the points P(x₁, y₁) and Q(x₂, y₂) is

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5

15

10

20

The law of sines can be used to solve oblique triangle when following information is given:

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Two angles and a side

Two sides and an angle opposite one of the given sides

Two sides and the angle between two sided

Option a and b

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The coefficient of the third term of (8a-b)^1/3, after simplification is

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-228

1/288

1/220

-1/177

The tangents drawn from the point P to a circle are real and coincident if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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