Question # 1

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4(x³- 3x²)³+ c

3x²- 6x + c

Fundamental law is

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The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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Express as a sum or difference: 2 sin 5θcosθ

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cos 4θ- cos 2θ

sin 4θ+ sin 2θ

cos 4θ+ cos 2θ

sin 4θ- sin 2θ

Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is

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Range of cosecθis

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W - {y | -1 < y < 1}

R - {y | -1 < y < 1}

O - {y | -1 < y < 1}

R

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Area ofΔABC=

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ab sinα

1/2 ab sinα

1/2 ac sinγ

1/2 ac sinβ

For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

sinα=

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2 sinαcosα

2 sinαcosβ

2 sinα/2 cosα/2

1+ tan²α/2

One minute is denoted by

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1⁰

1'

1"

None of these

Which symbolic notation represent unary operation ?

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-

∨

∧

⇔

Which of the following is a scalar

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weight

force

speed

momentum

cot(3π/2 -θ)=______;

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tanθ

cotθ

-tanθ

-cotθ

The slope of the normal at the point (at², 2at) of the parabola y²= 4ax is

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1/t

t

-t

-1/t

Domain of cotθis

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QUQ, =

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N

R

W

Z

If A = |aij| is (m x n) matrix then transpose of A is of the order

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m x m

m x n

n x n

n x m

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A

B

A'

None of these

If f(x) = tan x then f(0) is

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0

1

1/2

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I

|A|

|A| I

None of these

(1, 2) is in the solution of the inequality

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2x + y > 8

2x + y < 6

2x - y > 1

2x + 3y < 2

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

In R, the additive identity is

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0

1

-1

None

Which of the following is the subset of all sets?

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