Question # 1

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

The sum of infinite numbers of terms of an arithmetic series is

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Finite

Infinite

May or may not finite

None of these

The line 3x - 4y = 0

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Is a tangent to the circle x²+ y²= 25

Is a normal to the circle x²+ y²=25

Does not meet the circle x²+ y²= 25

Does not pass thro' the origin

Two circle x² + y²+2x - 8 = 0 and x² + y² -6 + 6x -46 =0:

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touch internally

do not intersect

touch externally

None of these

3x + 4 = 0 is

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not inequality

equation

identity

inequality

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Principle of equality of Fractions

Rule for product of fraction

Golden rule of fraction

Rule of quotient of Fraction

(a+bi) - (c+di)=

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(a+b) = (c+d)

(a+c) + i(b+d)

(a - c) + (c- d)i

(a - c)+ (b - d)i

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

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- x

Infinite set

Φ

{-4,4}

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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y : x

x : y

-y : x

-x : y

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A and B be two square matrices and if their inverse exist the (AB)-1 =

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A-1 B-1

AB-1

A-1B

B-1A-1

The distance between the points A(-8,3) and B(2,-1) is

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116

none of these

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cos x

- sin x

- cos x

tan x

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In f(x) + c

f(x) - c

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

cos 2α=

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1 - 2 sin²α

sin ²α+ cos²β

sin²α- cos²β

None of these

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4^1+x+ 4^1-x= 10 is called

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Reciprocal equation

Exponential equation

Radical equation

None of these

sin(a-90°)=______;

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sina

cosa

-sinθ

-cosa

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If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:

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Parallel to each other

Perpendicular to each other

Inclined at 60^o

neither parallel nor perpendicular

The exact degree value of the function sin-1( -√3/2) is

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70^ο

50^ο

90^ο

60^ο

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Two real roots

Two positive roots

Two negative roots

One positive and one negative root

The set {-1, 1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is

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