Question # 1

The centre of the circle x2+y2 -2fx-2gy+x=0 is

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(-g,-f)

(g,f)

(f,g)

(-f,-g)

A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is

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(11/16)²

(5/16)²

(11/16)⁴

(5/16)⁴

Domain of tangent function is

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The function sine and Cosine have the closed internal as their range

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[1, 0]

[-1, 1]

[0, 1]

[-1, 2]

A ________ divides the plane into left and right half planes.

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Vertical line

Horizontal line

Non vertical line

Inequality

∫x/Sin² x dx is equal to:

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x cot x + ln|sin⁡x |

-x cot x - ln|sin⁡x |

x cot x - ln|sin⁡x |

x. tan x- ln|sec⁡x |

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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Two circles are said to be concentric if they have

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same radius

same chord

same centre

same diameter

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Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

The physical quantity which possesses both magnitude and direction is called a

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scalar

vector

constant

none of these

Sum of first n terms of an arithmetic series is

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The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

The parametric equations of a circle are

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If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

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5

Equal to the moment of the force about origin

0

Cannot be found

If f (x) is defined and continuous then f (x) is always

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Rational function

Trigonometric function

Logarithmic function

All are correct

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1

-1

The no of term is the expansion of (a+x)n-1 is

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n+1

n-1

n

n-2

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

Which of the following is not a quadrantal angle

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90°

100°

180°

270°

Sin -1 x=

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sin(π/2-x)

Sin-1 (π/2-x)

π/2-cos-1x

π/2 + cos-1x

In (x + iy), y is called as

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Imaginary part

Complex number

Real part

None of above

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The law of of sines

The law of tangents

The law of consines

None of these

The additive inverse of 2/3 is

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3/2

-2/3

-3/2

0

The roots of ax2+bx+c=0 are

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Rational ⇔ b2 -4 ac ≥ 0

Irrational ⇔ b2-4 ac > 0

Real ⇔ b2-4 ac ≠ 0

Rational⇔ b2-4 ac = 0

a >b, b >c ⇒a >c is a

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Multiplicative property

Additive property

Trichotomy property

Transitive property of inequality

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

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- x

Infinite set

Φ

{-4,4}

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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

The roots of the equation ax²+ bx + c = 0 are real and equal if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

3x + 4 = 0 is

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not inequality

equation

identity

inequality

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