Question # 1

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

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BA

A2

AB

B2

What is the conjugate of -7 -2i ?

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-7 + 2i

7 +2i

7 -2i

√53

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

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

The square root of 2i - 20i is

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±(5 - 2i)

±(5+ 2i)

(5 - 2i)

None of these

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The interval in which f(x)=x3-6x2+9x is increasing

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1<x<3

x<1 and x>3

X ≥1 and x ≤ 3

-∞ < x < ∞

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none of these

Each complex cube root of unity is square of

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itself

1

-1

the other

In natural logarithm the base is

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1

0

10

e

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The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

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(0, 2π)

(-π, -0)

(0,π)

None of these

If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

A line joining two distinct points on a parabola is called a ______ of the parabola.

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Chord

Tangent

Lust rectum

directrix

The value of sin 28°cos 17°+cos 28°sin 17°is

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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

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2

0

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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

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If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

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I

14 I

0

None of these

In a triangle if a > 45°,β > 30° then y cannot be

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90°

100°

10°

120°

The multiplicative inverse of 0 is

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1

-1

0

Does not exist

Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

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