Question 1
Question: Define an even number. Answer: A number which is divisible by 2 is called an even number..
Note 1:
The L.H.S of (ii) and (iii) will have only finite number of terms, because n C r = 0 in case r>..
Step 1:
Show that the result holds for n = 1..
Step 1:
The value of index, n implies that there will be n+1 terms in the expansion of (a + b) n..
Step 1:
In the expansion of (1+x) n , the (r+1)th term is equal to..
In the expansion of (1+x) n , the (r+1)th term is equal to..Example 1:
01. If P(n) is the statement n 2 -n+41 is prime, prove that P(1), P(2) are true but P(41) is not tru..
Example 1:
Find the remainder when 2x 3 +4 is divided by a) x-1 b) x-2 d) x+1..
Find the remainder when 2x 3 +4 is divided by a) x-1 b) x-2 d) x+1..Question 1
Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Kerala..
Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Kerala..Note 1:
It is advisable to remember the following values..
It is advisable to remember the following values..Case 1:
When n is a positive integer. By actual multiplication, we have Similarly by the method of induction, ..
When n is a positive integer. By actual multiplication, we have Similarly by the method of induction, .. Result
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