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100 Problems on Greatest Integer Function - RADIUS JEE
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Q. How many numbers will divisible by 6 between 1 to 100 ?
A. First: find the number that is near to 100 and less than 100 and will divisible by 6..
How will you find it ?
Answer is you should know the divisibility rule of number 6 .. That is any number which divisible by 3 amd 2 will also be divisible by 6
So this number will be 96 near to 100
2nd : find the number nearest to 1 and greater than 1 which is divisible by 6 .. this will be 6
So numbers are
6 , 12 ,18 , ……………96 -> all are divisible by 6
This series is an A.P
Formula of nth term of AP
Tn = a +(n-1)d
a = first term = 6
n = number of term =?
Tn = Last term or nth tearm = 96
d = difference between two consecutive term = 6
96 = 6 +(n-1)6
n-1 = 90/6 = 15
n = 16 Ans

Maximum and Minimum value of Trigonometric function

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Trigonometry Formula and Important concept for JEE
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Trigonometry Formula and Important Concept JEE Main and Advance Download pdf

There are Three terms
(1) Undefined
(2) Infinity
(3) Indeterminate

(1) Undefined
Let varify division rule, let we are deviding M by n and it will give x ( M is multiple of n)
M/n = x
that means if we will multiply n with x ..it will give M
as n×x = M
Let suppose we are dividing H by 0 and it will give T
H/0 = T
so
T×0 = H ( so here T is not defined that can give H when multiplied by Zero(0)
So any number / 0 = Undefined ( remember not infinity)

(2) Infinity
it can be defined as ny large Quantity with respect to very small quantity
if we compare 1kg sugar with respect to
.00000000000000000000000000000000000000000000000000000000000000001 gram sugar
so 1kg sugar is treated as infinity ..
Lim x->0(1/x) = infinity

(3) Indeterminate
let x/y = m
so x = y×m
if x = 0 and y =0
0 = 0×m
m may be 1, 2, 3 , 4 , 5 2000, 40000, and so on ...
so 0/0 called indeterminate form
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