Question # 1

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

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a sin(ax + b) + c

- a sin(ax + b) + c

The equation of the line perpendicular to x- axis and passing through (-5,3) is

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y -3 =0

x+ 3 =0

y- 3 =∞

x +5 =0

Sin -1 x=

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sin(π/2-x)

Sin-1 (π/2-x)

π/2-cos-1x

π/2 + cos-1x

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

If z₁ = 1 + 2i, z₂ = 3 + 4i then

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z₁ > z₂

z₁ = z₂

z₁ < z₂

None of these

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4(x³- 3x²)³+ c

3x²- 6x + c

If ∀a,b ε R,then a +b ε R is a property

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

(1,0) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 3

x - 2y < -5

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

The set of complex numbers forms a group under the binary operation of

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0

±1

1

{0,1}

8 > t then

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(s -t) ²>(t -8)²

(s -t) ²<(t -8)²

(s -t) ²=(t -8)²

None

If 0 is not an integral multiple of π/2 then Cot⁴ θ+ Cot² θ=?

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Cosec⁴ θ -Cosec²θ

Tan θ - Tan² θ

Cosec² θ + Cosec θ

Sinθ Cosθ

For any set X, X∪X is

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15

15i

-15i

-15

If -1 < x < 0, which of the following statement must be true?

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x < x² < x²

x < x³ < x²

x² < x³ < x

x²< x < x³

The set of the first elements of the ordered pairs forming a relation is called its

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-x

does not exist

1/x

0

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The student enrolled for English cannot attend any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics.

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40

30

50

20

The value of the polynomial 3x³ + 4x² - 5x + 4 at x = -1 is

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A² + B²

A² + B²+ 2AB

A + B

A² + B² + AB+BA

Which is not included in the domain of Cos^-1 x

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0

1

-1

2

Tan (π + Tan^-1 x) =?

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Tan x

X

-x

Cot^-1 x

If a cone is cut by a plane perpendicular to the axis of the cone then the section is a

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Parabola

Circle

Hyperbola

Ellipse

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