Question # 1

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______

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f(p)

f(x)

f(o)

None of these

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sin h x

cos h x

tan h x

cot h x

The equation of the tangent at vertex to the parabola is y2 = -8(x -3)

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y=0

x=3

x=1

x=5

64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?

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z

x

y

x and y

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1

-i

i

0

If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

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x³⁹

40x³⁹

40x⁴¹

none of these

The null vector is regarded to be perpendicular to

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Every vector

In some cases

Both a b

None

A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

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1/13

2/13

7/52

None of these

A square matrix A = [aij] is upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

For a set A, A∪Ac= ---------------------

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A

∅

Ac

U

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-1

0

1

None of these

If the sum of even coefficients in the expansion of (1+x)n is 128 then

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n=7

n=9

n=8

None

If you are looking someone on the ground from the top of a hill the angle formed is called angle of _______;

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Elevation

Depression

Right angle

None off these

The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

The set {-1,1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

The product of complex numbers (a,b) and (c,d) is

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(ac, bd)

(ac-bd, ad+bc)

(ab,cd)

(ac+bd,ad-bc)

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0

1

13

What is the period of tan 4/3 x =?

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π/4

4π/3

7π/4

3π/4

What is the 26th term of the sequence, if its general term is a_{n = (-1)}ⁿ⁺¹

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2

26

27

1

If a, b, c are the measures of the sides of a triangle then

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-3

-7

1

0

The point of concurrency of the right bisectors of the sides of a triangle is called

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incentre

circum center

e-center

centroid

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

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both (A) and (B)

Period of sin x is

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56

7

8

8/7

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