Question # 1

Ifᵨ> 1 , then the conic, is:

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Ellipse

Parabola

Hyperbola

None of these

(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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Principle of equality of fractions

Rule for product of fraction

Rule for quotient of fraction

If the radius of a circle is increased by 1 then area of circle will be

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π r2

π(r+1)2

π r2 +1

2π (r+1)

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Hermitian matrix

Skew-hermitian matrix

Symmetric matrix

Identity matrix

If the sum of two unit vectors is a unit vector the the magnitude of their difference is

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√2

√3

1

None of these

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∫x sin xdx is equal to:

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sin x/x + cos x

sin x - cos x/x

x cos x + sin x

- x cos x + sin x

Which of the following has the same value as i113

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i

-1

-i

1

w^-12= ______

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0

1

w

w²

How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?

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The set of real roots of the equation log_{(5x + 4)}(2x +3)³- log_{(2x + 3)}(10x²+ 23x + 12) = 1 is

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{-1}

{-3/5}

Empty set

{-1/3}

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0

1

13

The distance of the point (2,3) from y-axis is

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2

3

5

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

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X to X

X to Y

Y to X

none of these

There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is

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ⁿP_m

ⁿC_mx (m - 1) !

^n-1P_m

None of these

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

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0

-25

5

45

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The set R is ........w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

The unit vector along x-axis is

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none of these

If x³+ 4x³- 2x +5 is divided by x - 1, then the reminder is

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8

6

4

None of these

A square matrix A = [aij] is lower triangular matrix when:

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aij = 0 for all i < j

bij = 0

cij = 0

dij =0

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

For all points (x,y) in third quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

The property used in -3 <-2 ⇒0 <1

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Commutative property

Additive property of inequality

Additive inverse

Additive identity

Which of the following ordered pair is a solution of the inequality x+2y<6?

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(2,3)

(2,2)

(6,0)

(1,1)

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0

1

-1

1⁰= ______

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1.5 rad

0.5 rad

0.175 rad

None of these

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Symmetric property

Cancellation property w.r.t. multiplication

Reflexive property

Transitive property

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