Question # 1

∀a,b,c∈R and c>0,then

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a>b ⇒ ac < bc

a>b ⇒ ac > bc

a<b ⇒ ac > bc

None of these

Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

General solution of 1 + cos x = 0 is

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If distance of (a,b) from y-axis is 2 then

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a = 2

b = 2

a = b

a = 4

InΔABC if y = 90° then the Pythagoras theorem is

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b2 + c2 =a2

a2 + b2 = c2

a2 +c2 = b2

None of these

If the graph of f is entirely below the x-axis, then the value of definite integral is

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= 0

< 0

> 0

None

Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

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Tan^-11/x = ______

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sin x

sec^-1X

cot^-1X

None of these

How many arrangements of the letters of the word MATHEMATICS can be made

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An event having more than one sample point is called

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Certain event

Compound event

Simple event

None

A circle which touches one side of a triangle extermally and the other two sides produced is called

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In-circle

Circumcircle

e-circle

Point circle

5x³+ 3x - is a ______

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Polynomial of degree 3

Polynomial of degree 2

Polynomial of degree 1

Polynomial of degree 0

θ and 2kπ+θ are the ________ angles

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Quadrantal angles

Coterminal

Allied

None

(a,0) x (c, 0) =

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(0,ac)

(ac, 0)

(0,0)

(a, c)

If x² + px + 1 is a factor of ax³+ bx +c, then

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a²+ c²= -ab

a²- c²= -ab

a²- c²= ab

None of these

If f(x) = x³- 2x²+ 4x -1 then f(0) is

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0

1

-1

none of these

The solution of the equation 3 tan²x = 1 is ____________

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none of these

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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One degree is denoted by

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1⁰

1'

1"

1 rad

The equation of the sphere thro' the origin and making intercepts a, b, c on co-ordinate axes is

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x²+ y²+ z²+ ax + by + cz = 0

x²+ y²+ z²- 2ax - 2 by - 2 cz = 0

x²+ y²+ z²= a + b + c

x²+ y²+ z²- ax - by - cz =0

1/3 is ______

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A prime number

An integer

A rational number

An irrational number

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360°

180°

90°

None of these

Period of 3 sin x is ______

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2π+θwill have terminal side in Quad

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I

II

III

IV

An infinite sequence has no

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nth term

Last term

Sum

None of these

Range of cosec x is ______

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{-1, 1}

R

Negative real numbers

R - { x | - 1 < x < 1}

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

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2

6

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