36.
OR
Find (a + b) - (a - b). Hence evaluate (√3+ √2)-(√3+ √2)*.
(SECTION: E-3X4=12)
90
61
Republic day is a national holiday of India. It honours the date on which the constitution of
India came into effect on 26 January 1950
replacing the Government of India Act (1935) as the
governing document of India and thus, turning
the nation into a newly formed republic.
Answer the following questions which are based on the word "REPUBLIC".
(i)
(ii)
(iii)
Find the number of arrangements of the letters of the word "REPUBLIC".
How many arrangements start with a vowel?
If the number of arrangements of the letters of the word "REPUBLIC" is abcde, then
find (a+b+c+d+e).
OR
If the number of arrangements starts with a vowel is abcde, then find (a + b)-(b + e).
37. During the Maths class, a teacher clears the concept of permutation and combination to the
class XI students. After the class was over she asks the students some questions, one of the
question was: how many numbers between 99 and 1000 (both excluding) can be formed such
that:
(i)
(ii)
every digit is either 3 or 7.
the digit in hundred's place is 7.
OR
at least one of the digits is 7.
If A and B are two persons sitting at the positions (2,-3) and (6,-5). If C is a third person wh
sitting between A and B such that it divides the line AB in 1:3 ratio. Based on the above
information, answer the following questions.
(i)
Find the distance between A and B.
(ii)
Find the equation of AB.
(iii)
Find the distance between C and B.
OR
Find the slope of AB.
1000
89
201
42