Question # 1

Factors of a⁴-4b⁴ are:

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(a-b),(a+b),(a2+4b²)

(a²-2b²),(a²+2b²)

(a-b),(a+b),(a^2-4b²)

(a-2b),(a²+2b²)

Median of a triangle divide it into _____ triangle of equal area:

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1

2

3

4

Set of Real numbers =

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Q

Q'

QႶQ'

QUQ'

Parallelogram is divided by its on diagonal into ___________ triangles of equal Area.

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Six

Four

Two

Infinite

Mid-point of the points B (-1,1) and A (2,5) is:

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(1,6)

(3,7)

Let A,B,C be three matrices, then A(B+C) = AB + AC is known as:

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Cumulative property w.r.to '+'

Associative property w.r.t '+'

Left distributive law

Right distributive law

If Z < 0 then x < y→

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xz < yz

xz > yz

xz = yz

None of these

Any point inside an ______ equidistan from its arms is on the bisector of it:

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Angle

Side

Circle

Triangle

HCF of a³+b³ and a²-ab+b² is:

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a+b

a²-ab+b²

(a-b)²

a²+b²

Conjugate of real number is:

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Pure imaginary

Real

Complex

None

H.C.F of p³q - pq³ and p⁵q² - p²q⁵ is _________:

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pq(p²-q²)

pq(p-q)

p²q²(p-q)

pq(p³-q³)

If A is subset of U, then (A^c)^c= .........

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A

A^c

U^c

∅

The D° M' S" form of 32.25° is:

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32°05°

32°10'

32°15'

32°20'

The system of measurement in which the angle is measured in radian is called.

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CGS system

Sexagesimal system

Circular system

MSK sytem

If number of elements in se A is 3 and in set B is 2, then number or binary relations in A x B is.

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3

4

7

12

Cosec²θ - Cot²θ = ______________

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-1

1

0

tanθ

In equation 5^1+x+5^1-x = 26, we put:

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5^2x=y

5^1+x=y

5^1-x=y

5^x=y

a deviation is defined as a difference of any value of the variable from a......

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Constant

Histogram

sum

Frequency

In equation ax⁴+bx²+c=0, we replace:

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x² = y

x= y

x⁴= y

x³= y

The tangent and radius of a circle at the point of contact are:

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Parallel

Not perpendicular

Perpendicular

A cumulative frequency table is also called:

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Frequency distribution

Data

Less than cumulative frequency distribution

The length of two common tangents to two circles are _____ to each other:

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Perpendicular

Equal

Parallel

Un-equal

The period of sin 2x is:

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π

2π

3π

1 radian is equal to:

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180°

none of these

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Every real number is also a/an:

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integer

rational number

irrationalnumber

complexnumber

The number of ways in which fiver persons can sit at a round table is:

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4!

5!

none of these

One card is drawn at random from a pack of 52 cards. The probability that the card drawn a king is:

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none of these

The period of sec x is:

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If A is a matrix of order m × n and B is a matrix of order n × p then the order of AB is:

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p×m

p×n

n×p

m×p

A function whose domain is the set of natural numbers is called the:

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series

sequence

means

convergent

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integer

rationalnumber

irrationalnumber

naturalnumber

A statement which is true for all possible values of the variables involved in it, is called a:

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tautology

conditional

implication

absurdity

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The graph of the parabola y² = -4ax lies in quadrants:

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I and II

III and IV

II and III

I and III

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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Free vector

Unit vector

Null vector

None of these

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

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Position vector of O

Position vector of P

Unit vector

Null vector

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Open

Closed

Open as well as closed

None of these

cosh^-1x =

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Undefined

3a²

a²

0

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0

4

7

(1, 0) is the solution of inequality :

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7x + 2y < 8

x - 3y < 0

3x + 5y > 6

-3x + 5y > 2