Question # 1

Medians of a triangle are_________:

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Concurrent

Congruent

Equal

Parallel

__________ triangle is an equilateral triangle:

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Right triange

Scalene

Equilateral

Isoscless

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A triangle having two sides congruent is called__________:

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Scalene

Right angled

Equilateral

Isosceles

The point of concurrency of the three altitudes of a triangle is called:

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Centroid

Orthocenter

Circumcentre

Incentre

Which of the following is associative property w.r.to addition:

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a + b = b + a

a (bc) = (ab) c

a + (b + c) = (a + b) + c

None of these

Triangles on equal bases and of equal altitudes are _______ :

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Same in shape

Equal in Area

There is only Triangle

None of these

LCM of a²+b² and a⁴-b⁴ is:

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a²+b²

a²-b²

a⁴-b⁴

a-b

A surd which contain a single term is called _______ surd.

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Trinomial

Monomial

Binomial

Rational

If one angle of a right triangle is of 30°, The hypotenuse is ______ as long as the side opposite to the angle

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Equal

Twice

Thrice

None of these

Obtuse angle triangle having ________ angles are greater then 90°:

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1

2

3

4

The D° M' S" form of 32.25° is:

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32°05°

32°10'

32°15'

32°20'

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The set having only one element is called.

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Null set

Power set

Singleton set

Subset

A collection of well-defined distinct object is called:

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Subset

Power set

Set

None of these

Which of the following is De-Morgan's law?

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(A∪ B)∪ C = A∪ ( B∪ C)

(A∩B)^C= A^c∪ B^c

A∪ (B∩ C) = ( A∪ B)∩ (A∪ C)

A∩(B∪ C) = (A∩B)∪(A∩C)

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The circumference of a circle is called:

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Tangent

Chord

Boundary

Segment

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1.5cm

2.0cm

2.5cm

3.5cm

If (x+1)(7x+1) = 0 then x is equal to:

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The line that passes through centre and touches a circle at two points is called:

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Diameter

Radius

Arc

Corners

If tanθ =√3 thenθ is equal to .

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30^o

45^o

60^o

90^o

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{1, 2, 3}

{5, 6, 7}

{4}

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cos x

sec x

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1

-1

-6

6

If ⁿP₂ = 30 then n = :

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5

6

2

3

A sequence is denoted by:

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{a_n}

a_n

a₁ + (n-1) d

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2

-2

5

-5

A sequence of numbers whose reciprocal form an arithmetic sequence, is known as:

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arithmetic sequence

geometricsequence

harmonicsequence

none of these

The circum-radius R of a triangle is given by:

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tan(π + tan^-1x ) =

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x

π+x

π-x

none of these

The area A of a circle as a function of its circumference C is:

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If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

The distance between the points (1, 2), (2, 1).

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1

2

Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

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y - y1 = m ( x - x1) is the equation of straight line in:

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Slope-intercept from

Point-slope from

Normal form

Intercepts form

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

X-coordinate of any point on Y-axis:

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0

x

y

1