Question # 1

If the roots of ax²- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is

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Ifθ= 60° then

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sinθ= 1/2

tanθ= cot 30°

θ=π/4

secθ= 4

The set R is ______ w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

If a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

None of these

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sin(180° -θ)=

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cosθ

-cosθ

Tanθ

Sinθ

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

If cos 20°=K and cos x=2 k²-1, then the possible values of x between 0° and 360° are

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140°

50° and 140°

50° and 130°

40° and 320°

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Rational fraction

Proper fraction

Improper rational fraction

None of these

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

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0

1

-1

Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

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The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

x²+ x - 6 = 0 is a conditional equation and it is true for

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2, 3

2, -3

-2, -3

-2, 3

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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H.P.

A.P.

G.P.

None of these

f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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

The area under the curve y = 1/x² between x = 1 and x =4 is:

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-25

0.75

-0.35

-10

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Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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k3

0

3k

k6

Identity w.r.t intersection in a power set of any set is

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∅

Set itself

Singleton set

{0}

In the function f: A⟶B, the elements of a are called

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Images

Pre-images

ranges

Parameters

Express the perimeter P of square as a function of its area A?

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P = 4√A

P =√A

P = 2A

P =π√A

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

The first three terms in the expansion of (1 + x)^-2are ______

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 -2x + 3x²

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