Question # 1

The square root of every incomplete square is an

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Rational numbers

Even numbers

odd numbers

Irrational numbers

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Set of whole number

Rational Numbers

Complex numbers

Whole numbers

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

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2

4

6

8

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

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°

If z=(x,y) then z has no multiplicative inverse when

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x ≠ 0, y = 0

x = 0, y = 0

x = 0, y ≠ 0

None of these

x⁴- 3x³+ 3x + 1 = 0 is called ______

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Reciprocal equation

Exponential equation

Radical equation

None of these

The 8th term of (1+2x) ^-1/2is

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

The line Ax + By + C = 0 will touch the circle x²+ y²=λ when

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C²=λ(A²+ B²)

A²=λ(A²+ C²)

B²=λ(A²+ C²)

None of these

A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

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1/13

2/13

7/52

None of these

The expansion (1 + x)^-3holds when

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|x| > 1

|x| < 1

x < 1

x > 1

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f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

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There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

Union of the sets of rational and irrational numbers is called 6th set of

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Natural numbers

Real numbers

Whole numbers

Prime numbers

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2 b

2 a

2 ab

a + b

√25 is a number

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Rational

Irrational

Natural

Odd

Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

1⁰= ______

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w⁷³= ______

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0

1

w

w²

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A

A'

U

None of these

What is the conjugate of -6 -i

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-6 +i

6 + i

-6 -i

6 -i

System of linear equations is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

The set {1,-1,i,-i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

Which of the following is not a unit vector

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[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

[1, 0, 0]

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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