Question # 1

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

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Orthogonal

Collinear

Perpendicular

None of these

If 2 tan¹(cos x) = tan^-1(cosec²x), then x is equal to

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π/ 3

π/ 2

π/ 6

π

Area of the circle with ends of a diameter at (-3,2) and (5,-6)

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128π sq. units

64π sq. units

32π sq.units

None of these

If a2 = b2 then

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a = b

a+b= 1

|a+b| =0

None

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

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5 / 12

3 / 8

5 / 8

7 / 4

The next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

The seventh term of (x3+1/x)8is

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71

-22

27

28

The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

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12m

21m

17m

15m

The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is

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3 x 3

3 x 2

2 x 5

5 x 2

Inequalities have ______ symbol

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2

3

4

1

The property used in -3 <-2 ⇒0 <1

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Commutative property

Additive property of inequality

Additive inverse

Additive identity

An infinite sequence has no

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nth term

Last term

Sum

None of these

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A parabola

An ellipse

A hyperbola

A circle

Which of the following is a scalar.

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electric field

magnetic field

weight

mass

The sum of n terms of a series is denoted by

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d

n

S_n

a_n

If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is

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8

12

10

14

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1

2

3/2

5/2

The radius of the circle (x - 1)²+ (y + 3)²= 61 is

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8

4

64

None of these

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cos 2x + c

- cos 2x + c

tan 2x + c

cot 2x + c

If a = {2m/2m < 9 ,m€ p} , the (n A) =

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{2,3,4,5,6,7,8}

{2,4,6,8............16}

{ 4, 6}

{2,3,5,7}

The principal value of sin-1√(3/2) is

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-π/3

π/3

2π/3

π/2

Period of Cotangent function is

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π

-π

0

-2π

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1

2

-2

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The set {1,2,3,4......} is called

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Set of natural numbers

Set of whole numbers

Set of rational number

Set of irrational numbers

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

If f(x) = x²then f(-2) is

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-2

2

4

-4

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