Question # 1

The straight line passing through the focus and perpendicular to the directrix of the conic is known as its

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Tangent

axis

Focal chord

major or manor axis

If Cosθ=0, thenθ= ______

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nπ/2

(2n + 1)π/2

(2n - 1)π/2

(4n + 1)π/2

Onto function is also called

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Binjective function

Injective function

Surjechive function

None of these

tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

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0

1

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

If t is the parameter for one end of a focal chord of the parabola y²= 4ax, then its length is

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The Domain of y = sin x is ______

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Set of real numbers

Rational

Irrational no.

None of above

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x²+ x - 6 = 0 is

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An equation

An identity

A polynomial

None of these

The symbol of irrational is

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W

N

Q

Q'

The common point to four standard parabolas

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Focus

Centre

Vertex

P(x,y)

A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

The set of all positive even integers is

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Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

3x + 4 > 0 is

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equation

inequality

identity

none of these

What is the 26th term of the sequence, if its general term is a_{n = (-1)}ⁿ⁺¹

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2

26

27

1

∀a,b ε R, ab = be is a

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplicative identity

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The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

The quadratic formula is

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The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is

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2

1

-1

-2

Range of cotθis

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(+∞to -∞)

(-1 to +1)

(-5 to +5)

Set of even numbers only

If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

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45°

30°

75°

60°

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Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

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