Question # 1

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The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

The area enclosed between the graph y = x²-4x and the x- axis is:

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20/3

41/3

32/3

25/3

0.25 is ______

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An irrational number

A natural number

A prime number

A rational number

The difference of two consecutive terms of an A.P is called the

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Common difference

Common ratio

Geometric series

Geometric mean

The third term of the sequence a_n= (-1)^n-1(n-7) is ______

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8

4

-4

8

The function f{(x, y) | y = ax²+ bx + c} is

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One-one function

Constant function

Onto function

Quadratic function

The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

The middle term in the expansion of (a +x)¹²is

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7th

8th

9th

6th

The point of concurrency of the right bisectors of the sides of a triangle is called

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incentre

circum center

e-center

centroid

The period sin²θis

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π²

π

2π

π/2

The roots of (b-c)x2+(c-a) x+a-b=0 are equal if

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2b = a+c

2a = b+c

2c = a+b

a + b + c =0

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a f(x) + c

f(x) + a

If y = sin (ax + b), then fourth derivative of y with respect to x =

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a⁴cos (ax + b)

a⁴sin (ax + b)

-a⁴sin (ax + b)

a⁴tan (ax + b)

If in a set of real no a is multiplicative identity then

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a,a = a²

a,a = 1

a,a = 0

None of these

If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is

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x²+ Sx - P = 0

x²- Sx + P = 0

x²- Sx - P = 0

X²+ Sx + P = 0

(a,b) +(-a,-b) =

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(0,0)

(a,b)

(-a,-b)

(1,1)

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

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The law of of sines

The law of tangents

The law of consines

None of these

Period of Sine and Cosine function is

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π

2π

-π

-2π

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1/x

-x

2x

0.5 x

If in a set of real no a is additive identity then

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a+a = 2a

a+a = 1

a+a = 0

None of these

For the parabola the line through focus and perpendicular to the directrix is called

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Tangent

Vertex

Axis

None

x = 0 is in the solution of the inequality

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x > 0

3x + 4 < 0

x + 3 < 0

x - 2 < 0

sin (sin^-1(1/2))=

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0

2

∞

1/2

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

Power set of X i.e P(X) _______ under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

2.333....is a

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Irrational no

Complex no

Rational no

None of these

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