Question # 1

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Undefined

3a²

a²

0

If y = f(u) and u = F(x), then:

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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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cosec x + c

-cosec x + c

cot x + c

- cot x + c

The order (or sense) of an inequality is changed by ________, it each side by a negative constant.

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Adding

Subtracting

Dividing

None of these

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

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Inside

On

Outside

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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Scalar

Free vector

Unit vector

Null vector

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

(1, 0) is the solution of inequality :

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7x + 2y < 8

x - 3y < 0

3x + 5y > 6

-3x + 5y > 2

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Free vector

Unit vector

Null vector

None of these

If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:

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Maximum

Vertex

Minimum

Convex

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0

1

-1

2

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domain

range

lower limit

upper limit

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

Let f(x) = cos x, then f(x) is an:

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Even function

Odd function

Power function

None of these

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x = a

for all x

x = 0

ax + b < c is a inequality of:

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One variable

Two variable

Three variable

Four variable

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