Question # 1

tan(cot^-1x) is equal to

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cot(tan^-1x)

tan x

secon x

None of these

The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is

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14

2

-2

11

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none of these

If f(x) = ax², and a>0, then the lowest point on the parabola is called.

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Vertex of parabola

Co-ordinates of parabola

Roots of the equation

Coefficient of the equation

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Φ set is the _______ of all sets

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Subset

Union

Universal

Intersection

The minimum value of the quadratic function f(x) = x2 +6x -2, is

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11

6

-11

13

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sin h x

cos h x

sec h x

cosec h x

A quadratic equation in x is an equation that can be witten in the form

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ax²+ b = 0

ax³ +b²+c=0

ax² +bx+c=0

ax³ +bx³+cx=0

The distance of the point (a,b) from y-axis is

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a

b

a + b

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

The period of the function csc x/4 us

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4x

π/4

8π

π/8

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Rational

Irrational

Natural

Odd

(n + 2) (n + 1)n in factorial form is

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The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

The symbol of irrational is

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W

N

Q

Q'

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0

1

-1

2

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

Domain of cosθis

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Set of odd numbers

Set of integers

Set of real numbers

Set of complex numbers

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(n + 2) (n + 1) n= ______

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How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108

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8

6

7

36

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The real number system contains.

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Positive Numbers

Negative numbers

Zero

(option a, b and c)

A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

If A and B are two sets then any subset R of B x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

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The distance of the point (-2, -3) from the origin is

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2

-5

-3

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