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

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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3

1

4

The distance of the point (2,3) from y-axis is

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2

3

5

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

Which of the following is a scalar

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weight

force

speed

momentum

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If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

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Area of inscribed circle is

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π R2

π η2

π r22

π r2

i =

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√1

√2

√-2

√-1

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are real no

both are not real

are imaginary no

both are imaginary

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0

1

-2

10

A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?

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460

495

272

60

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What is the number of elements of the power set of { }

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0

1

2

3

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

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Linear equation

Quadratic equation

Cubic equation

None of these

A and B throw a dice. The probability that A's throw is not greater then B's is

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5 / 12

7 / 12

1 / 6

1 / 2

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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100x ⁹⁹

100x ¹⁰¹

-99x ⁹⁹

-100x ¹⁰¹

If x² + px + 1 is a factor of ax³+ bx +c, then

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a²+ c²= -ab

a²- c²= -ab

a²- c²= ab

None of these

For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

If ax + bx + c =0 is satisfied by every value of x,then

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b = 0,c = 0

c = 0

b = 0

a = b = c = 0

A prime number can be a factor of a square only if it occurs in the square at least

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Once

Thirce

Twice

None of these

The roots of ax2+bx+c=0 are

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Rational ⇔ b2 -4 ac ≥ 0

Irrational ⇔ b2-4 ac > 0

Real ⇔ b2-4 ac ≠ 0

Rational⇔ b2-4 ac = 0

Tan 3x tan 2x-tan x is equal to

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Tan x tan 2x tan 3x

-tan x tan 2x tan 3x

Tan x tan 2x - tan - tan x tan 3x - tan 2x tan 3x

None of these

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