Question # 1

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sin h x

cos h x

sec h x

cosec h x

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

The expansion of (1 - 3x)^-1is valid if

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| x | < 1

| x | < 3

| x | < 1/3

None of these

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

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π / 3

π / 4

π / 2

π

Which conjunction is not true ?

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The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is

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1.2%

1.5%

0.16%

100.16%

If the roots of ax²+ b = 0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0, b > 0

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none of these

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A = x, B = 1

A = 0, B = 2

A = -1, B = 1

A = x-1, B = x+1

The value of sin²20° + sin²70° is equal to

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1

2

-1

1/2

In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is

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69°

66°

60°

63°

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both (A) and (B)

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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

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Addition

Multiplication

Subtraction

Division

x = ________ is in the solution of 2x + 3 > 0

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1

-2

-3

-4

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16

256

64

1024

If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

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Hyperbola

Parabolas

Ellipses

None of these

The roots of the equation 4x - 3.2x+2 + 32 = 0 would include

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1 and 3

1 and 4

1 and 2

2 and 3

The number of subsets of a set having three elements is

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4

6

8

none of these

xy= 2 is:

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a constant function

an identity function

an improper function

implicit function

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

Latus rectum = 4 x ______________

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focal distance of the vertex

Chord

Focus

1/2

The unit vector along z-axis is

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none of these

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The axis of the parabola x² = 4ay is:

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y = 0

x = 0

x = -a

y = a

A sequence is a function whose domain is

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N

Subset of N

R

None of these

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The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3

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5,3

5,-3

5,0

10,0

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