Question # 1

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

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0

-1

1

2

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

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c

0

1

-c

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4, -4

0

2, -2

0, 4

General form of equation of line is:

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ax - by + c = 0

ax + by - c = 0

ax + by + c = 0

ax - by - c = 0

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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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- cosec² x

cosec²x

- cosec x cot x

cosec x cot x

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

If the upper limit is a constant and the lower limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

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Unit vector

Null vector

Position vector

None of these

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a cosec (ax + b)

cot (ax + b)

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sec x tan x

sec²x

-sec x tan x

-sec²x

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

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1 cm

7cm

4cm

5cm

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tan x + c

-tan x + c

sec x + c

-sec x + c

The range of the function f(x) = |x|

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