Question # 1

∀ a,b∈ R, a + b = b + a is _____________ Property of real numbers.

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Closure property w.r.to '+'

Closure property w.r.to 'x'

Commutative property '+'

Commutative property w.r.to 'x'

The symbol used for 1 - 1 correspondence is:

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log (m)ⁿ can be written as:

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(log m)ⁿ

m log n

n logm

log (mn)

Area of a triangle region = _______:

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Three non-collinear points determine a __________

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Line

Plane

Curve

Space

Factorize 3x²-75y²

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(x+3)(x+75y)

3(x+25y)(x-25y)

3(x-25y)(x-25y)

3(x+5y)(x-5y)

The line segment has only ________ point of bisection:

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One

Two

Three

Four

HCF of x-2 and x+x-6 is:

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x²+x-6

x+3

x-2

x+2

The right bisectors of the three sides of n triangle are________:

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Congruent

Collinear

Concurrent

Parallel

The value of i^{9 is:}

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1

-1

i

-i

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2

6

5

If A and B are disjoint sets then AUB is equal to:

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A

B

BUA

90 degree makes ______ right angle:

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2

4

1

3

In a ratio x:y, y is called:

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Relation

Antecedent

Consequent

None of these

A fraction with degree of numerator less than degree of denominator:

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Equation

Improper

Identify

Proper

If a : b = c : d, then a + b : a - b = c + d : c - d is called theorem of:

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Componendo-Dividendo

Invertendo

Dividendo

Componendo

In continued proportion a:b = b:c, ac = b², b is said to be _______ proportional between a and c:

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Third

Fourth

Means

None of these

Venn diagram was first used by......................

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John Venn

Netwon

Arthur Cayler

John Napier

Two square roots of unity are:

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1,-1

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The extent of variation between two extreme observations in a data is called.

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Average

Range

Quartiles

None of these

If A is a matrix of order m × n, then the number of elements in each row of A is:

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m

n

m + n

m - n

If one root of 2x² + ax + 6 = 0 is 2 then the value of a is:

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7

-7

tan (α+ß) =

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A dice is thrown. The probability to get an odd number is;

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1

none of these

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0

i

-i

1

Probability of an impossible event is:

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0

1

-1

∞

In a triangle ABC, (s - a)(s - b) = s(s - c), then the angle Γ =

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20

If a_n = (n + 1) a_n-1, a₁ = 1, second term of the sequence is:

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3

1

2

4

Multiplicative inverse of -i is:

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i

-i

1

-1

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28

29

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

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Differentiation

Integration

Differential

None of these

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

None of these

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Circle

Parabola

Hyperbola

Ellipse

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0

1

-1

2

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1

2

3

0

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

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1

0

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a