Question # 1

The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

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A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

The negation of a number

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a relation

a function

unary operation

binary operation

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0

1

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none of these

In (x + iy), y is called as

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Imaginary part

Complex number

Real part

None of above

G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

The span of a standard parabola depends upon

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x

a

y

y2

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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1

-1

0

None of these

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

The distance of the point (a, b) from x-axis is

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a

b

a + b

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A

A'

U

The identity element with respect to subtraction is

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0

-1

0 and 1

None of thes

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The domain of the principle sine function is

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3 sec²x

3 sec²3x

sec²3x

sec²x

Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....

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3.5

3

4

None of these

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If f(x) = tan x then f(0) is

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0

1

1/2

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0

-1

1

not defined

The product of the four fourth roots of unity is

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0

1

-1

None of these

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

The conic is a parabola if

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e < 1

e > 1

e = 1

None of these

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