Question # 1

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1

3

2-i

-1

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0

-1

1

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An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

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none of these

The middle term(s) of (a+x)11 is

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6th term

6thor 7th

7th term

6thand7th

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0

Independent of a

Independent of b

Independent of c

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quadrant I

quadrant II

quadrant III

quadrant IV

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The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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A parabola

An ellipse

A hyperbola

A circle

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If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is

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sin^-1[-1/2] = ______

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Domain of cosecθis

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2 b

2 a

2 ab

a + b

Domain of 3 sin x is ______

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[-3, 3]

R

Positive real numbers

None of these

If uv= Projuv then

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Uandvare parallel

vis a unit vector

Uis a unit vector

Both b and c

If the roots of ax²+ bx + c = 0 (a > 0) be greater than unity, then

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a + b + c = 0

a + b + c > 0

a + b + c < 0

None of these

G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are

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2,2,2

3,3,3

2,2,4

2,3,4

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

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5

25

3

If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:

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10

5

0

20

The tangents drawn from the point P to a circle are real and coincident if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

If x is an image of y under the function f. This can be written as

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y = f(x)

f(x) = 0

x = f(y)

f(y) =0

The matrix A = [aij]1xn is a

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Vector

Rectangular matrix

Column vector

Square matrix

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

∫f(x) is known as:

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Definite itegral

Indefinite integral

Fixed integral

Multiple integral

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