Question # 1

The equation x2+ y2- 8x+ 6y+ 25= 0 represents

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A circle

A pair of straight lines

A point

None of these

If a +b +c =0 then which of the following is true

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a =b =c =0

a,b =b,c =c,a

a xb=b xc =c xa

None

The multiplicative inverse of -1 in the set {1-,1} is

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1

-1

±1

0

Does not exist

A circle which touches one side of a triangle extermally and the other two sides produced is called

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In-circle

Circumcircle

e-circle

Point circle

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Proper fraction

Improper fraction

Rational fraction

None of these

The vector k = [0,0,1] is called unit vector along:

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x -axis

y - axis

z- axis

None of these

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the co-ordinate plane. Let d = distance between P and Q

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The quadratic formula is

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The number of real tangents that can be drawn to the ellipse 3x²+ 5y²= 32 passing thro. (3, 5) is

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0

1

2

Infinite

The vertex of the equation y² = 4ax is:

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(2, -2)

(1,1)

(0 , 0)

(2 , 2)

The value of k (k > 0) for which the equation x²+ kx + 64 = 0 and x²- 8x + k = 0 both will have real roots is

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8

-16

-64

16

If a > b or a < b than a = b is a

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Additive property

Transitive property

Trichotomy property of inequality

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none of these

{0} is a

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Empty set

Singleton set

Zero set

Null Set

When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

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The greatest term in the expansion of (3+2x)⁹, when x=1 is

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4th

4th and 5th

5th

6th

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A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

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A proper fraction

An improper fraction

An equation

An identity

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x³- x²+ x + c

6x - 2 + c

x³- 2x + c

sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

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sec 5x + c

- sec 5x + c

A∪(A∪B)= --------------------

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B

A

A∪B

None of these

The angle between lines xy =0 is

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45°

60°

90°

180°

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-x

Infinite set

{-4, 4}

None of these

∫Sec² (ax + b) dx is equal to:

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tan² (ax + b)

1/a tan² (ax + b)

1/atan (ax +b)

tan (ax + b)

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quadrant I

quadrant II

quadrant III

quadrant IV

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none of these

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