Question # 1

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

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6

360

120

24

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

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Constant function

Variable value

Function of upper limit

All

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Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to

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n!

ann!

0

an

The general equation of circle x³ + y³ + 2gx + 2fy + c = 0 , contains:

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Three independent variables

Two independent conntants

Three indepentent parameters

Three independent constants

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sec h x = ________

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In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

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45

30

25

50

A circle is a limiting case of an ellipse whose eccentricity

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Tends to a

Tends to b

Tends to 0

Tends to a + b

The line y = 2 x + c is a tangent to the parabola y²= 16 x if c equals

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-2

-1

0

2

The multiplicative inverse ofx^(-1) is

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x

a-2

0

1

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A dice is rolled. The probability that the dots on the top are greater than 4 is

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1/6

1/3

1/2

1

General solution of 1 + cos x = 0 is

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Through how many radians does the hour hand of a clock turn in one hour

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If the terminal rays of an angle falls on any axis then the angle is called

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Allied angle

Acute angle

Standard position

Quadrantal angle

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

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If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

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4

5

6

7

In R, the additive identity is

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0

1

-1

None

If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

The number of subsets of B = {1,2,3,4,5}

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10

32

16

5

sin (2π-θ)

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cosθ

sinθ

tanθ

-sinθ

An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

None of these

If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is

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1 / 66

3 / 66

19 / 66

47 / 66

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A

0

Unit vector

None

Which of the following is not a quadrantal angle

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90°

100°

180°

270°

If p and q are two statements then their conjunction is denoted by

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