1 |
The direction of an angle Θ is determined by its: |
value
magnitude
ratio
sign
|
2 |
If s denotes the length of the arc intercepted on a circle of radius r by a central angle of α radians, then: |
s = rα
s = r + α
none of these
|
3 |
In a circle of radius r, an arc of length kr will subtend in angle of __________ radians at the center: |
s
k
r
Θ
|
4 |
The area of a sector of a circular region of radius r with length of the arc of the sector equal to s is-----------: |
rΘ
rs
|
5 |
In circular system the angle is measured in: |
radians
degrees
degrees, minutes
degrees, seconds
|
6 |
The system of measurement in which the angle is measured in degrees, and its sub-units, minutes and seconds is called the: |
circular system
sexagesimal system
decimal system
degree system
|
7 |
In binomial expansion (a+b)n, n is positive integer the sum of coefficients equals: |
none of these
|
8 |
In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals: |
none of these
|
9 |
In binomial expansion of (a+b)n, n is positive integer the sum of odd coefficients equals: |
none of these
|
10 |
|
2x
x<sup>2</sup>
1
none of these
|
11 |
The middle term in the expansion of (1+x)1/2 is: |
T<sub>2</sub>
T<sub>3</sub>
does not exist
none of these
|
12 |
|
T<sub>6</sub>
T<sub>7</sub>
T<sub>8</sub>
T<sub>5</sub>
|
13 |
The middle terms of (x+y)23 are: |
T<sub>10</sub>,T<sub>11</sub>
T<sub>11</sub>,T<sub>12</sub>
T<sub>12</sub>,T<sub>13</sub>
none of these
|
14 |
The middle term of (x-y)18 is: |
9th
10th
11th
none of these
|
15 |
The middle term in the expansion of (a+b)20 is; |
10<sup>th</sup> term
11<sup>th</sup>term
12<sup>th</sup>term
13<sup>th</sup>term
|
16 |
If n is a positive integer, then the binomial co-efficient equidistant form the beginning and the end in the expansion of (x+a)n are: |
same
not same
additive inverse of each other
none of these
|
17 |
Number of terms in the expansion of (x+y)6 is: |
7
6
2
8
|
18 |
Number of terms in the expansion of (a+b)n is: |
n
n+1
n-1
none of these
|
19 |
If a statement P(n) is true for n = 1 and truth of P(n) for n = k implies the truth of P(n) for n = k + 1, then P(n) is true for all: |
integers n
real numbers n
positive real numbers n
positive integers n
|
20 |
|
|