Question # 1

Sin-1(-x)=

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x

-x

-sin-1 x

cos-1 x

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

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1⁰= ______

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If the cutting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is:

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an ellipse

Circle

a hyperbola

a parabola

∀x, y ∈ R, either x = y or x > y or x < y is

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Transitive property

Reflexive property

Trichotomy property

None of these

Every irrational number is

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A real number

A prime number

A natural number

An integer

The equation x² + y² +2g +2fy + c =0 represents a circle whose centre is :

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(g,f)

(-g,-f)

(2g ,2f)

(-2f ,-2g)

(1 + 2x)⁴= ______

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1 + 4x + 6x²+ 4x³+ x⁴

1 - 4x + 6x²- 4x³+ x⁴

1 - 8x + 24x²- 32x³+ 16x⁴

1 + 8x+ 24x²+ 32x³+ 16x⁴

A fixed point which lies on the axis of the cone is called its:

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axis

apex

plane

diameter

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Free vector

Null vector

Unit vector

None of these

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