Question # 1

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9cm²

20cm²

18cm²

6cm²

If a line segment intersects the two sides of a triangle in the same ration then it is ______ to the third side:

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Perpendicular

Parallel

Intersecting

Similar

HCF of a³+b³ and a²-ab+b² is:

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a+b

a²-ab+b²

(a-b)²

a²+b²

Real part of 2ab(i + i²) is:

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2ab

-2ab

2abi

-2abi

A non-terminating, non-recurring decimal represents:

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A natural number

A rational number

An Irrational number

Prime number

∀ 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 Medians of an equilateral triangle are __________ in measure:

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Different

Unequal

Equal

None

In parallelogram ______ are congruent:

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Opposite sides

Opposite angles

Opposite sides and angles

Diagonals

Which of them is not an acute angle

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30°

60°

80°

90°

Equality of ______ ratio is defined as proportion:

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Two

Three

Four

Five

If sum of two angle is 180°, then these are called:

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Vertical

Supplementary

Complementary

Adjacent

The circular region bounded by an arc of a circle and its two corresponding radial segments is called a:

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Sectorof the circle

Areaof the circle

Radiusof the circle

Circumferenceof the circle

Cos 30^o =.....................

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1/2

√3/2

2

2/√3

Range for the data 110,109,84,89,77, 104,74,97,49,59,103,62 is.....

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41

51

61

71

The two tangents drawn to a circle from a point outside it, are equal in;

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Length

Radius

Measure

Diameter

The line joining the two points of circle is called:

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Chord

Diameter

Arc

Radius

The symbol used to denote a second is:

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1°, 1'

1°

1"

1'

Tan 90° = __________

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1

0

Undefined

None of these

The circumference of a circle is:

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Find k, if the roots are equal in (k+3)x²-2(k+1)x-(k+1)=0:

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2, -1

-2,-1

-2,1

2,1

In a ratio a:b, a is called:

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Relation

Antecedent

Consequent

None of these

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

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Radius

Circle

Circumference

Diameter

If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is:

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0

1

-1

±1

Sum of all odd numbers between 100 and 200 is:

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6200

6500

3750

7500

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5

-5

-4

4

The period of cos 2x is:

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Probability of an impossible event is:

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0

1

-1

∞

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none of these

cos (2sin^-1 x) =

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1- 2x²

1 + 2x²

2x²- 1

x²- 1

{2, 4, 6, 8, ...........} represents the set of:

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positive odd numbers

natural numbers

prime numbers

positive even numbers

Solution set of the equation x² - 3x + 2 = 0 is

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{-1, 2}

{1, -2}

{-1, -2}

{1, 2}

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tan x

cot x

The imaginary part of the complex number a + bi is:

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a

b

bi

none of these

Two arcs of two different circles are congruent if:

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The circles are congruent

The corresponding central angles are congruent

Both a and b

None of the above

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Unit vector

Null vector

Position vector

None of these

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Above

Left

Below

Right

A solution of a linear inequality in x and y is an ordered pair of numbers, which _______ the inequality.

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Does not satisfy

May be stisfied

Satisfies

None of these

f (x) = x secx, then f(0)=

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-1

0

1

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

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Complex

Rational

Real

None of these

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Ellipse

Parabola

Hyperbola

Circle

If a straight line is perpendicular to y-axis, then its slope is:

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1

-1

0

undefined

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

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Centroid

Ortho-center

Circums-center

In-center

A corner point is the point of intersection of:

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x-axis & y - axis

Boundary lines

Any two lines

None

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