Question # 1

The radius of circle x² + y² + 2gx + 2fy + c = 0 is:

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The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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Integration

Integration w.r.t.x.

Differentiation

Differentiation w.r.t.x

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tan x + c

-tan x + c

sec x + c

-sec x + c

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[0]

[0, 0]

[0, 0, 0]

None of these

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y-coordinate of any point on X-axis:

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0

x

y

1

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Scalar quantity

Reciprocal vector

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4

2

1

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0

2

3

1

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

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Free vector

Unit vector

Null vector

None of these

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sinh x

cosh x

-sinh x

-cosh x

The symbol | | is used for:

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x | + c

ln |cosec x + cot x | + c

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0

1

e

Does not exist

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

If y = sin x then dy =

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cosy dx

cos x

cosx dx

cos xdy

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

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FA Part 2 Mathematics Full Book Test Online MCQs With Answers

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