Question # 1

Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is

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0.28

0.13

0.12

0.42

The equation of vertical asymptotes of y = cos ecx is

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x = 0

y = 0

x =∞

y =∞

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5

25

3

An ellipse slides between two lines at right angles to one another. The locus of its centre is :

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a parabola

an ellipse

a circle

a hyperbola

If A is singular then |A| = ______

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1

0

2

None of these

The set of first elements of the ordered pairs in a relation is called its

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domain

range

relation

function

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A

B

A'

None of these

If a2 = b2 then

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a = b

a+b= 1

|a+b| =0

None

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- cot 4x + c

cot 4x + c

tan 4x + c

- tan 4x + c

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The set R is ........w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

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If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

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Conclusion

Implication

Antecedent

Hypothesis

The positive integer just greater than (1+0.0001)¹⁰⁰⁰⁰is

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4

5

2

3

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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Parabola

Circle

Hyperbola

Ellipse

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none of these

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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45°

30°

75°

60°

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1

-1

0

I

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

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15

15i

-15i

-15

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

The synthetic division method is only used to divide a polynomial by

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quadratic equation

binomial

linear equation

monomial

Arithmetic mean between 14 and 18 is

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16

17

15

32

Domain of sinθis

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Set of real numbers

Set of complex numbers

Set of natural numbers

Set of even numbers

(fog)′(x) =f′(g(x))g′(x) is derivative by

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Chain rule

Reciprocal rule

Power rule

Product rule

If a_n= 2n -3, write the first four terms

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-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

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