Question # 1

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

Second derivative of y = x⁹+ 10x²+ 2x - 1 at x = 0 is

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10

20

12

1

∀a,b, c ε R,a +c = b + c = > a = b

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

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3 sec²x

3 sec²3x

sec²3x

sec²x

I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:

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x² = 4ay

y² = 4ax

y² = -4ax

x² = 4ax

The exponent of x in 10th term in the expansion of (a+x)n

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10

12

11

9

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The period of sin x/2 = Cos x/3 is

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2p

12p

13p

7p

The multiplicative inverse of 0 is

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1

-1

0

Does not exist

Sin-1(-x)=

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x

-x

-sin-1 x

cos-1 x

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Less then 1

Equal to 1

Greater than 1 but less then 2

Greater then or equal to 2

For all points (x,y) on y-axis

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x is positive

x = 0

x is negative

y = 0

If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics

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40

30

50

20

An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

In the interval 0≤ x ≤ π, the sine is

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Not a function

Not defined

Infinity

Not one-to-one function

The exact degree value of the function sin-1( -√3/2) is

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70^ο

50^ο

90^ο

60^ο

The points A(3,1),B(-2,-3),C(2,2) are vertices of an (an)

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Right triangle

Equilateral triangle

Isosceles triangle

Scalene triangle

The equation of the normal to the circle x²+ y²= 25 at (4, 3) is

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3x - 4y =0

3x - 4y =5

4x + 3y = 5

4x + 3y = 25

The distance between the points A(-8,3) and B(2,-1) is

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116

none of these

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p < r

p > rr

p + r < 0

p - r < 0

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

sinα=

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2 sinαcosα

2 sinαcosβ

2 sinα/2 cosα/2

1+ tan²α/2

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If f(x) = -x³then f(-2) is

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-2

-4

-8

8

If f(x) = x²then f(-2) is

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-2

2

4

-4

sin(3π/2 -θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

The magnitude of a vector can never be

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Zero

Negative

Positive

None of these

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Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

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(2x4)

(2x7)

(2x3)

(7x2)

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