1. The followingformulae maybe helpful inansweringthe questions.The symbolsgivenare the onescommonly
used
ALGEBRA
1 2 am
x an
= a m + n
3 am
an
= a m – n 4 ( am
)n
= a m n
5 6
7 log a mn
= n log a m 8
9 10
11 12
13
CALCULUS
1 y = uv , 2
3 4
Areaundera curve =
5 Volume generated =
STATISTICS
1 2
3 4
5 6
7 8
2. 9 10
11 12
13 14
GEOMETRY
1 Distance = 2 Mid point
3
A pointdividingasegmentof a line
4
Areaof a triangle =
5 6
TRIGONOMETRY
1 Arc length, s=rθ 2 Areaof a sector,
3 4
5 6 sin 2A = 2 sin A cos A
7
cos 2A = cos2
A – sin2
A
= 2 cos2
A – 1
= 1 – 2 sin2
A
8
9
cos( 𝐴 ± 𝐵) = 𝑐𝑜𝑠𝐴 𝑐𝑜𝑠𝐵 ∓ 𝑠𝑖𝑛𝐴 𝑠𝑖𝑛𝐵
10
11 12
13 14 Areaof triangle =
