Question # 1

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sin h x

cos h x

sec h x

cosec h x

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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Rational

Irrational

Even

Odd

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

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

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

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2x + y > 8

2x + y < 6

2x - y > 1

2x + 3y < 2

The exact value of cos^-1 (-1) + cos^-1(1) =

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π

-π

π/2

π/3

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Cos-1 (-x) =

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-x

1/x

tan-1 x

π-cos-1 x

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A

A'

U

None of these

The square root of 2i - 20i is

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±(5 - 2i)

±(5+ 2i)

(5 - 2i)

None of these

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1

2

-2

The distance of the point (a, b) from x-axis is

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a

b

a + b

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

∀x, y ∈ R, either x = y or x > y or x < y is

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Transitive property

Reflexive property

Trichotomy property

None of these

If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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The total cost of 2 apples and 3 oranges is $1.70, which of the following is true

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The cost of one apple

The cost of one orange

Both have equal cost per item

Cost of each single item can not be determined

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I3

rI3

r

none

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A finite non-empty set

Null set

Both a and b

None of these

Find the geometric mean between 4 and 16

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none of these

The proposition S(k+1) is true when ______ is true∀K∈N

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S(n)

S(k)

S(1)

S(k-1)

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____

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12

8

24

-24

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cot x + c

tan x + c

-cot x + c

-tan x + c

Find a if 1 is a root of the equation x²+ ax + 2 = 0

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3

-3

2

0

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