Question # 1

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

2x = 3 is a conditional equation it is true for

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2

3

3/2

2/3

Fundamental law is

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The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

if a_{9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is}

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65

67

71

75

The solution set of the equation 4 cos²x - 3 + 0 is

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none of these

i =

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√1

√2

√-2

√-1

The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

Which of the following is a scalar.

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force

frequency

weight

acceleration

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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

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Images

Pre-images

ranges

Parameters

Sin-1(-x)=

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x

-x

-sin-1 x

cos-1 x

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-1

0

1

None of these

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184

none of these

The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at

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(1,1)

(0,1)

(1,0)

(0,0)

If C={p/p < 18, p is a prime number}, then C =

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{2,3,4,.........17}

{2,4,6,8................16}

{1,3,5,7,9,11,13,15,17}

{3,6,9,12,15}

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sin(3π/2 -θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

If a,b,c are in arithmetic progression, then 1/a,1/b.1/c are in

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A.M

G.M

H.M

G.P

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1.5

1.2

8

None of these

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(n + 2) (n + 1) n= ______

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a >b ⇒a +c >b +c is known as

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Trichotomy property

Additive property of inequality

Transitive property

Multiplicative property

If a = [1,4,3] and B= [2,-1,5] athen the mid point M of AB is:

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[1,1,1.5]

[2,2,1.5]

[1.5,1.5,4]

None of these

If f(x) = x²-x then f(0) is

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0

1

2

3

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2

4

8

12

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