Question # 1

if a_{9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is}

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65

67

71

75

An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

If the exponent in the binomial expansion is 6, then the middle term is

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2nd

3rd

4th

5th

The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a

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Square

Parallelogram

Rectangle

Rhombus

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(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

sin²αcos²α=

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-1

0

1

None of these

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15

15 i

-15 i

-15

The middle term of the expansion (1 + 2x)⁶is ______

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1st term

4th term

2nd term

5th term

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

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Let A be a square matrix. Then, 1/2 (A-A') is

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Skew-symmetric

Symmetric

Null

None of the above

If a set S contains "n" elements then P (S) has ...... number of elements

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2ⁿ

2²ⁿ

2 . n

n²

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

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In f(x) + c

f(x) - c

Name the property used in 4.1 + (-4.1) = 0

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Additive inverse

Multiplication inverse

Additive identity

Multiplication identity

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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The statement that a group can have more than one identity elements is

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True

False

Ambiguous

Some times true

The first three terms in the expansion of (1 - x)^-2are

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

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

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In-circle

Circum cirle

Escribed circle

None of these

The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0

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Same side

P above and origin below

Opposite side

P below and origin above

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

Range of cosecθis

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W - {y | -1 < y < 1}

R - {y | -1 < y < 1}

O - {y | -1 < y < 1}

R

A monoid (G, *) is said to be group if

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have identity element

is commutative

have inverse of each element

None of these

Cosec 60° = ______

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none of these

Which of the following does not represent absolute value of a vector

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magnitude

length

norm

number

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Power set of X i.e P(X)..........under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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