Question # 1

If Sn is a definite number as n → ∞,then the geometric series is

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Convergent

Divergent

Oscillatroy

None of these

The expression x2 - x + 1 has

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One proper linear factor

No proper linear factor

Two proper linear factors

None of these

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

y=-a is the equation of the directrix of

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y2 =4ax

x2=-4ay

x2=4ay

y2=-4ax

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

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relation on A

relation on B

relation from A to B

relation from B to A

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If A is a non-singular matrix then adj A is

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Non-singular

Symmetric

Singular

Non defined

If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

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0

±1

±5

±7

A non-homogeneous linear system AX = B has no solution if

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|A| = 0

|A|≠ 0

Rank (a) = no of variables

Rank > no of variables

If the roots of ax²+ bx + c =0 are equal in magnitude but opposite in sign, then

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a = 0

b = 0

c = 0

None of these

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sec 5x + c

- sec 5x + c

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Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

Domain of sec x is ______

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The mid point of the line segment joining the points A(3,1) and B(-2,-4) is

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(1, -3)

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0

1

-1

None

sin(3π/2 -θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

6 is

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A prime integar

An irrational number

A rational number

An odd integer

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

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Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

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-1

0

1

undefined

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Polynomial of degree 0

Polynomial of degree 2

Quadratic equation

None of these

Arithmetic mean between 14 and 18 is

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16

17

15

32

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Principle of equality of fractions

Rule for product of fraction

Rule for quotient of fraction

The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if

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a chord passing through the focus of a parabola is called a:

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Focal chord

Latus rectum

Tangent

Directrix

Every real number is

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A complex number

A rational number

A natural number

A prime number

If x³+ 4x³- 2x +5 is divided by x - 1, then the reminder is

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8

6

4

None of these

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