Question # 1

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The different of tan x is

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sec2 x

ln |sec x|

sec2 xdx

-cos ec2 x

Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

The equation of a line parallel to the tangent to the circle x²+ y²= 16 at the point (2, 3) and passing thro' the origin is

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2x + 3y = 0

2x - 3y = 0

3x + 2y = 0

3x - 2y = 0

The process of finding a function whose derivative is given is called a

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Differentiation

Integration

Differential

None

The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

+-1

0

Domain of cosec x is ______

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The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = 1

X = -2, y = 1

X = 2, y = -1

X = 2, y = 2

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

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2 : 1

3 : 1

1 : 2

1 : 3

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

If ax + bx + c =0 is satisfied by every value of x,then

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b = 0,c = 0

c = 0

b = 0

a = b = c = 0

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The end points of the major axis of the ellipse are called its

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Foci

Vertices

Co - vertices

None of these

The sum of first twenty odd integers in A.P is

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400

397

404

408

√23 is

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A rational number

A irrational number

An even integer

A factor of 36

Every prime number is also

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Rational number

Even number

Irrational number

Multiple of two numbers

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

Two tangents drawn from (2,3) to the circle x2+y2 =9 are

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Real and distinct

Imaginary

Real and coincident

None of these

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

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f(x) = C is

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identity function

constant function

linear function

quadratic function

The axis of the parabola x² = 4ay is:

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y = 0

x = 0

x = -a

y = a

An equation of the form ax + by = k is homogeneous linear equation when:

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The distance of the points (3, 4, 5) from y-axis is

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A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?

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460

495

272

60

Range if y = cos x is

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-1≤ y≤ 1

-1 < y < 1

-∞ < x < +∞

None of these

The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

E-radius corresponding to < C is

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