Question # 1

If the bisector an angle of a triangle bisects the side opposite to it, The triangle is __________:

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Scalene

Acute

Isoseles

Right angle

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-2/5

2/5

5/2

If the product of two surds is a rational number, then each surd is called ________ of the other:

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Additive inverse

Multiplicative inverse

Rationalizing factor

Factor

The degree of polynomial 4x⁴+2x²y is:

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1

2

3

4

If (x-2) is a factor of polynomial expression x²+2kx+8 the value of k is:

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3

-3

2

-2

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)

A matrix is called a row matrix if it has only one _________:

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Column

Row

Diagonal

None

Diagonal of Parallelogram divides it into two _______ triangles:

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Congruent

Not congruent

Not equal

None of these

Every diagonal of a parallelogram divides it in _______ congruent triangles ____:

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Two

Three

Four

Five

A __________ region in the union of a triangle and its interior:

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Triangular

Plane

Parallelogram

None of these

General form of linear equation in two variables is:

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ax + by -m = 0

ax + by = m

ax + m = by

None of these

The discriminant of x²+8x+16=0:

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4

3

2

0

The point (-5,-7) lies in ........ quadrant.

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I

II

III

IV

In a : b : : b : c, b is called:

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Meanproportional

Thirdproportional

Continuedproportional

Fourthproportional

In a : b : : b : c, where c is called:

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Fourth proportional

Meanproportional

Thirdproportional

Continuedproportional

1+ cot² θ = __________.

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tan²θ

cosec²θ

cot²

sec²θ

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1

-1

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

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Equation

Improper

Identify

Proper

The standard deviation is 6 then its variance is...........

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√6

36

3

6

Any chord divides a circle into two:

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Parts

Segments

Sectors

Shapes

The measure of the external angles of a regular hexagon is:

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Line segment joining any point of the circle to the centre is called:

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Circumference

Diameter

Radial segment

Perimeter

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irrational fraction

polynomial

rational fraction

none of these

A geometric series is convergent only if:

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| r | > 1

| r | < 1

| r | = 1

none of these

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diagonal matrix

The set of negative integers is closed with respect to:

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addition

multiplication

both (a) and (b)

subtraction

What is the general term of the geometric sequence -1, 1, -1, 1 ....... ?

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(-1)ⁿ

(1)ⁿ

(-1)^n-1

none of these

Which one is radical equation:

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ax² + bx + c

ax + b = 0

2^x = 16

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

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1

none of these

The angle between 0° and 360° and co-terminal with - 620° is:

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100°

200°

300°

320°

A.M between 1 + x - x² and 1 + x + x² is:

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1 + x²

1 + x

2

none

The graph of x = sin y is obtained by reflecting the graph of y = sin x about the line:

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x axis

y axis

y = x

y = -x

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

The point of intersection of the medians of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

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ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

The derivative of x with respect to y is given by:

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The function f(x) = 3x² has minimum value at :

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x = 3

x = 2

x = 1

x = 0

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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2 : 1

3 : 1

1 : 2

1 : 1

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these