Question # 1

Number of combination of zero or more things out of n different things

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nPn

nPr

nCr

2n

Arithmetic mean between a and b is

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8

9

10

11

Roots of the equation x²+ 2x + 3 = 0 are

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Real and equal

Real and distinct

Complex

None of these

i³ =

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-1

i

-i

1

In one hour, the hour hand of a clock turns through

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real part of z

imaginary part of z

conjugate of z

modulus of z

i =

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sin (α -β)=

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sinαcosβ- cosαsinβ

sinαcosβ+ cosαsinβ

sinαcosα- cosβsinβ

The equation of the line perpendicular to x- axis and passing through (-5,3) is

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y -3 =0

x+ 3 =0

y- 3 =∞

x +5 =0

Which of the following is not a unit vector

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[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

[1, 0, 0]

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I quadrant

II quadrant

III quadrant

IV quadrant

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The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

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An ellipse

A parabola

A circle

A hyperbola

probability of a certain event is

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0

-1

1

∞

f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

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

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7

6

3

0

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0

1

-1

None

Parametric equation of circle : x²+y²+r², are

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r1 = x cos𝜽 r² = y sin𝜽

x = r cos𝜽 y = r sin𝜽

x = r sin𝜽1 y = r sin𝜽2

x = r₁ cos𝜽 y = r_{2 sin𝜽}

The n numbers A₁,A₂,A₃,.....A_nare called an arithmetic means between a and b if a.A₁,A₂,A₃.....A_n, b is ______

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An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

None of these

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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-1

0

1

undefined

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The exact degree value of the function sin-1( -√3/2) is

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70^ο

50^ο

90^ο

60^ο

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The equation of the normal to the circle x²+ y²= 25 at (4, 3) is

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3x - 4y =0

3x - 4y =5

4x + 3y = 5

4x + 3y = 25

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