Question # 1

Mid point of the points (2,-2) and (-2,2) is:

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(2,2)

(-2,2)

(0,0)

(-1,-1)

Aurther Cayley introduces theory of matrices in:

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1854

1856

1858

1860

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

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Column

Row

Diagonal

None

If Z₁ = Z₂ then Z₂ = Z₁ this property is known as _______ property:

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Reflexive

Symmetric

Transitive

Closure

LCM of a²+b² and a⁴-b⁴ is:

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a²+b²

a²-b²

a⁴-b⁴

a-b

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Additive identity

Additive inverse

Multiplicative identiry

Multiplicative inverse

A ray has ________ end points:

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No

One

Two

Three

How many lines can be drawn through two points:

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1

2

3

Unlimited

The logarithm of unity to any base is:

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1

10

e

0

The symbol used for parallel is ________:

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Which is the solution set of the inequality 9-7x > 19-2x:

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19

-7

2

-2

How many tangents can be drawn from a point outside the circle ?

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1

2

3

The distance of any point of the circle to its centre is called:

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Radius

Diameter

A chord

An arc

Sin (-310^o) = ...................

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Sin310^o

-Sin310^o

Cos310^o

tan310^o

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The distance of a point inside the circle from its centre is ______ than the radius:

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Greater

Equal

Shorter

Less

Cot 45°=_______

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1/2

-1/2

1/√2

1

A part of circumference of a circle is called.

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Radians

CFhord

Sector

Arc

Throught how many non-collinear points a circle can pass ?

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One

Two

Three

Four

The circumference of circle is called:

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Chord

Segment

Boundary

20^o = _______________________________

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360'

630'

1200'

360'

The relation {(1, 2),(2, 3),(3, 3),(3, 4)} is:

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Onto function

In to function

Not a function

One-one function

With usual notations for triangle R equals:

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In any triangle ABC, law of tangents is:

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all of these

r₃ =

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degree of P(x) = degree of Q(x)

degree of P(x) < degree of Q(x)

degree of P(x) > degree of Q(x)

none of these

Period of a trigonometric function is:

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any real number

any negative real number

any integer

a least positive number

In binomial expansion (a+b)ⁿ, n is positive integer the sum of coefficients equals:

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none of these

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

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a

b

bi

none of these

Sum of roots of ax² + bx + c = 0 is equal to product of roots only if:

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a+c=0

b+c=0

a+b=0

a+b+c=0

Which of the following is correct:

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2 + 7i > 10 + i

1 + i > 1 - i

4 + 3i > 1 + 3i

none of these

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p is false and q is true

both p and q are false

p is true and q is false

both p and q are true

x² + y² = 4 is:

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Function

Not a function

Ellipse

Line

If (x, y) are the coordinates of a point, then the first component of the ordered pair is called:

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Abscissa

Ordinate

Coordinate axes

None of these

For a square of side x units, the rate of change of area with respect to the side is given by:

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x

x²

2x

2

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Scalar quantity

Reciprocal vector

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

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[0]

[0, 0]

[0, 0, 0]

None of these

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4, -4

0

2, -2

0, 4

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

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

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Unit Vector

Null vector

Position vector

None of these