Question # 1

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sec x tan x

sec²x

-sec x tan x

-sec²x

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If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

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tan x + c

-tan x + c

sec x + c

-sec x + c

Area between x-axis and the curve:

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32

16

Distance of the point (-3, 7) from x-axis is:

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3

-3

7

10

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ln |sin x|

- ln |sin x|

ln |cos x|

-ln |cos x|

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Position vector

Null vector

Unit vector

None of these

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Which one is an identity function ?

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f(x) = g(x)

f (x) = x

f(x) = 1

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A linear equation in two variables represents:

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Circle

Ellipse

Hyberbola

Straight line

Let f(x) = x², then range of f is the set of all:

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Real numbers

Non-negative real numbers

Non-negative integers

Complex numbers

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3

4

5

6

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Volume of the tetrahedron

Volume of the parallelepiped

Volume of the triangle

None of these

The length of the latus rectum of the parabola y² = 4ax is:

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a

4a

2a

None of these

The vertex of the parabola x² = -4ay is:

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(a, 0)

(0, 0)

(0, -a)

(0, a)

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The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

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c

2g + 2f -c

None

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Unit vector

Null vector

Position vector

None of these

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