Question # 1

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none of these

Which shape of the following objects are approximately parabolic ares?

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Light reflectors

Force

Weight of the pendul

None of these

Range of cot x is ______

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[-1, 1]

R

Negative real numbers

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

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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Symmetric property

Cancellation property w.r.t multiplication

Reflexive property

Transitive property

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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 sin x + sin²x = 1, then the value of Cos¹²x + 3cos¹⁰x + 3cos⁸x + cos⁶x + 2 cos⁴x + cos²x-2 is equal to

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0

1

2

sin²x

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If A is a non-singular matrix then adj A is

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Non-singular

Symmetric

Singular

Non defined

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

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295

495

395

722

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If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (2,1) then

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d₁= d₂

d₁<d₂

d_1>d₂

none of these

The law of consines is

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-a -b -c

1

0

-1

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a^xIn a + c

a^x+ c

x a^x+ c

∀x,y∈ R and x < 0, y < 0, which one is true

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xy < o

xy = o

xy > o

None of these

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none of these

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

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12

6

3

0

A triangle has ____ elements

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3

4

5

6

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8

9

10

11

If 0 = {1,3,5.......}, then n (0) =

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99

odd integers

Even numbers

Infinite

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-3 -2i

3 +2i

1 + 2i

1 - 2i

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If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

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1/x

-x

2x

0.5 x

The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a

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Square

Parallelogram

Rectangle

Rhombus

If a polynomial P(x) is divided by x + a, then the remiander is

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P(a)

P(-a)

P(0)

None of these

Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

A triangle has six

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side

elements

angle

tangents

The period of cosec 10x is _______

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If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix

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A2

A5

A3

A7

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