Question # 1

A sequence of number whose reciprocals form an arithmetic sequence is called

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is

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(2, 4)

(4, 8)

(0, 2)

(0, -2)

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Natural numbers

Whole numbers

Integers

Rational numbers

In the interval 0≤ x ≤ π, the sine is

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Not a function

Not defined

Infinity

Not one-to-one function

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4(x³- 3x²)³+ c

3x²- 6x + c

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The constant distance of all points of the circle from its centre is called the

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radius of the circle

secant of the circle

chord of the circle

diameter of the circle

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1

5

7

9

When we expand (a + 2b)⁵then

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a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵

a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵

5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵

None

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An ellipse

A parabola

A circle

A hyperbola

sin(180° -θ)=

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cosθ

-cosθ

Tanθ

Sinθ

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A prime number

An integer

A whole number

An irrational number

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

(a+bi) - (c+di)=

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(a+b) = (c+d)

(a+c) + i(b+d)

(a - c) + (c- d)i

(a - c)+ (b - d)i

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Two matrices A and B are conformable for the product AB if

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Both A and B are square

Both A and B are symmetric

Number of rows of A = number of columns of B

Number of columns of A = number of rows of B

If P is a proposition then its negative is denoted by

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The last term of (1+2x)-2

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(-1)-2 (2x)-2

(-1)-4(-2x)-2

(-1)-3(2x)-3

Does not exist

There is no integer n for which 3n is

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Even

Prime

Odd

Real

The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is

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θ = 30°

θ = 45°

θ = 60°

θ = 75°

The set {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

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none of these

(x3-1/x)12

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295

495

395

722

The unit vector along x-axis is

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none of these

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

The set X is

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Proper Subset of X

Not A subset of X

Improper Subset of X

None of these

A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?

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460

495

272

60

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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