Question # 1

Mid point of the points B (-4,3) and A (4, -9) is:

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(8,6)

(-8,6)

(-4,3)

(0,-6)

In parallelogram opposite sides are:

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Opposite direction

Un-parallel

Parallel/congruent

Equi-distant

The point of concurrency of three perpendicular bisector of triangle is alled__________:

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Orthocenter

Centrroid

Incenter

Circumcenter

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7

49

52

26

Triangles are of same shape but different sizes:

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Similar

Corresponding

Congurent

Alternate

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The sum of the lengths of any two sides of a triangle is ______ than the length of the third side

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Equal

Greater

Less

Less or equal to

Point (-5,3) lies in quadrant:

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I

II

III

IV

∀ 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 factors of x²-7x+12:

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(x+3)(x+4)

(x-3)(x-4)

(x+3)(x-4)

(x-3)(x+4)

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)

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 equation ax⁴+bx²+c=0, we replace:

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x² = y

x= y

x⁴= y

x³= y

Roots of the equation 4x²-4x+1=0 are:

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Real, equal

Real, uneqal

Imaginary

Irrational

The union of two noncollinear rays, which have common end point is called.

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A Radian

A Minute

A degree

An angle

If a chord of a circle subtends a central angle of 60°, then the length of the chord and the radial segment arc:

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Congruent

Incongruent

Parallel

Perpendicular

If a = 7, b = 8 and c = 1 then b²-4ac is equal to:

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33

34

35

36

Two square roots of unity are:

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1,-1

The date presented in the form of frequency distribution is called:

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distribution

grouped data

range data

regrouped data

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Proper fraction

Improper fraction

Irrational fraction

Rational fraction

if A and B are disjoint sets , then A∪ B is equal to.

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A

B

∅

B∪ A

Locus of a point in a plane equidistant from a fixed point is called:

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Radius

Circle

Circumference

Diameter

(1 - sin²Θ) (1 + tan²Θ) =

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0

1

Θ

-1

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If a matrix A is symmetric as well as skew symmetric, then:

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A is null matrix

A is unit matrix

A is triangular matrix

A is diagonal matrix

To convert any angle in degrees into radians, we multiply the measure by:

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The additive inverse of a real number is a:

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0

-a

a

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3×2

2×3

2×2

3×3

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linear equation

Quadraticequation

cubicequation

radicalequation

The multiplicative identity of real numbers is:

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0

1

2

-1

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The other name of quadratic equation is:

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linear equation

1st degree equation

2nd degree equation

none

The lengths of the sides of a triangle are proportional to the sines of the opposite angles to the sides. This is known as:

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The law of sines

The law of cosines

The law of tangents

The fundamental law

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

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Rectangle

Rhombus

Parallelogram

None of these

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

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Undefined

3a²

a²

0

A chord passing through the focus of a parabola is called a ________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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sinh x

cosh x

-sinh x

-cosh x

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these