Question # 1

The distance of the points (3, 4, 5) from y-axis is

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tan^-1x > cot^-1x holds for

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x > 1

x < 1

x = 1

All values of x

6 is

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A prime integer

An irrational number

A rational number

An odd integer

A diagonal matrix in which the diagonal elements are equal is called a

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Null matrix

Identity matrix

Scalar matrix

Row matrix

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sec h x = ________

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The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

If a,b = 0 then

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a |b

a||b

a = b

None

A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

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Domain of 2 cos x is ______

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[-2, 2]

R

Negative real numbers

None of these

If 4 > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

None of above

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If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:

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x² = 4y -32

x² =8y -32

y³ = 16 x

x2 + 8y =32

The positive real number which is the measure of the length of a vector is called the

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Unit vector

Modulus

Inverse

None of these

The nth term of an A.P is (3n+5) Its 75th term is

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26

7

21

Cannot be determined

The property used in -3 <-2 ⇒0 <1

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Commutative property

Additive property of inequality

Additive inverse

Additive identity

Geometrically the modulus of a complex number represents its distance from the

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Point (1,0)

Point (0,1)

Point (1,1)

Point (0,0)

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images

pre-images

constants

none of these

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

sin(3π/2 -θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

w²⁸+ w³⁸= ______

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0

1

w

-1

Range of cosec x is ______

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{-1, 1}

R

Negative real numbers

R - { x | - 1 < x < 1}

The first three terms in the expansion of (1 + x)³are

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1 + 3x +6x²

1- 3x + 6x²\

-3 -3x -6x²

1- 3x -6x²

The period of the function f(x) = sin⁴x + cos⁴x is

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π

π/2

2π

None of these

The identity elements with respect to subtraction is

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0

1

-1

Does not exist

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Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

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