Question # 1

The line segment has only ________ point of bisection:

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One

Two

Three

Four

A point equidistant from the end points of a line-segment is on its___________:

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Bisector

Right-bisector

Perpendicular

Median

Diagonals of a parallelogram divide the parallelogram into ________ congruent triangles.

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Two

Three

Four

Five

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The conjugate of 5 + 4i is

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-5 + 4i

-5 - 4i

5 - 4i

5 + 4i

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Subtraction

Addition

Division

Multiplication

(img) is used for __________ triangle:

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Acute angled

Obtuse angled

Right angled

All

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Ratio, (img) as comparison of two _______ quantities:

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Different

Alike

Unlike

None of these

In a parallelogram:

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Opposite sides are congruent

Opposite angles are congruent

The diagonals bisect each other

All of these

The diagonals of a parallelogram _______ each other:

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Bisect

Trisect

Bisect at right angle

None of these

π/2 radians =.....................

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30^o

45^o

60^o

90^o

How many tangents can be drawn from a point outside it ?

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1

2

3

4

In equation ax⁴+bx²+c=0, we replace:

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x² = y

x= y

x⁴= y

x³= y

In a ratio x:y, y is called:

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Relation

Antecedent

Consequent

None of these

Which of the following is true?

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W⊆ N

Z ⊆ W

N ⊆ P

P ⊆ W

If Tanθ=1 then Sinθ= ____________ whenθ lies in 3rd quadrant.

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1/2

-1/2

-1/√2

1/√2

A pair of chords of a circle subtending two congruent central angles is:

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Congruent

Incongruent

Over lapping

Parallel

Sin²θ +Cos²θ =..................

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tan²θ

Cos²θ

1

0

The union of two noncollinear rays. which have common endpoint is called

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An angle

A degree

A minute

A raian

The ratio of a and b is written as:

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a : : b

a : b

a = b

Two square roots of unity are:

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1,-1

The middle term in the expansion of (1+x)^1/2 is:

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T₂

T₃

does not exist

none of these

cos(tan^-1∞) =

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0

∞

1

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If z = x + i y = r (cos Θ + i sin Θ), then arg z is:

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tan Θ

cos²Θ + sin²Θ

r

Θ

No. of signals made by 4 flags of different colors using 2 flags at a time:

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6

12

60

none

i² + 1 =

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-1

0

i

1

If A is a square matrix, then A + A^t is:

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The direction of an angle Θ is determined by its:

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value

magnitude

ratio

sign

The range of y = sin^-1 x is:

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If, for all x in the domain of f, there exists a smallest positive number p such that f (x+p) = f(x), then p is the:

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period of f

period of 2f

period of 3 f

period of 4 f

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sin x

cos x

sinh x

cosh x

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One variable

Three variable

Two variable

Four variable

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The cross product or vector product of two vectors is defined:

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Only in plane

Only in space

Both a and b

None of these

If y = f(u) and u = F(x), then:

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If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

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Independent variable

Not function

Function

None of these

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x | + c

ln |cosec x + cot x | + c

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

Two vectors are equal if they:

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Pass through the same point

Are parallel to each other

Are parallel to each other and have same direction

Have equal magnitude and have same direction