Question # 1

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is

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2

1

0

None of these

Period of Cotangent function is

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π

-π

0

-2π

Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

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x = 3

x = 1/5

x = 0

None of these

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

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5x^{4 + c}

1/6 x⁶+ c

5x²+ c

1/5 x⁶+ c

If cos^-1p + cos^-1q + cos^-1r =πthen p²+ q²+ r²+ 2pqr is equal to

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3

1

2

-1

The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

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an A.P.

a G.P.

a H.P.

None of these

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

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0

1

-1

undefined

9. 8. 7. 6= ______

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1⁰= ______

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1.5 rad

0.5 rad

0.175 rad

None of these

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If A and B are two sets then any subset R of A x B is called

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relation on A

relation on B

relation from A to B

relation from B to A

Each complex cube root of unity is square of

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itself

1

-1

the other

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Reciprocal equation

Exponential equation

Radical equation

None of these

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Rational fraction

Proper fraction

Improper rational fraction

None of these

The distance of the point (2,3) from y-axis is

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2

3

5

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1

-1

Ifα,βare the roots of ax²+ bx + c = 0 andα+ h,β+ h are the roots of px²+ qx + r=0, then h =

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An equation which hold good for all values of the variables is called

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Identity

fraction

mixed form

Partial equation

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are

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(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is

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2:3

-2:3

3:2

-3:2

π is the ration of

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Area of a circle to its diameter

Area of a circle to its radius

Circumference of a circle to its diameter

Circumference of circle to its radius

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