PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

HOMEWORK FOR JULY SECOND WEEK

PAIR OF LINEAR EQUATIONS  IN TWO VARIABLES

1.      Solve the following pair of linear equations by the substitution and cross-multiplication methods:

                                    8x+5y=9

                                    3x+2y=4

2.      For which values of K will the following pair of linear equations have no solution?

3x+y=1

(2k-1)x+(k-1)y=2k+1

3.      A fraction becomes 1  when 1 is subtracted from the numerator and it becomes 1

        3                                                                                                    4

           When 8 is added to its denominator. Find the fraction.

4.      1      +  1   =  2   ;    1   +  1    = 13  , solve

                  2x        3y               3x      2y      6

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 HOMEWORK FOR JULY FIRST WEEK.
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HOMEWORK: SUBMISSION DATE 26.06.2017 

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.HOMEWORK FOR THE WEEK 05.06.17 TO 09.06.17

. REAL NUMBERS

SUBMISSION  DATE   : 12.06.17

HW 1 SUB TOPIC :  FINDING HCF & LCM

1.Find HCF & LCM of  the following pair of integers and verify that

 LCM x HCF  = Product of the two numbers

(         a)    510 & 92      (b)   336 & 54

2. Find the HCF & LCM  of the following integers by applying the prime factorization method

(         a)    12 , 15 , & 21          (b) 17 , 23 ,29     (c ) 8 , 9 & 25

3. Explain why 7 x 6 x 5 x 4  x 3 x 2 x 1 + 5 is a composite number ?

HW 2  SUB TOPIC :  PROVING IRRATIONALITY OF IRRATIONAL NUMBERS

1.      Prove that the following are irrational

(a)               (b)           (c )         

2.      Prove that  3 + 2      is irrational 

SUBMISSION DATE : 05.06.17

HW 1         SUB TOPIC : EUCLID’S DIVISION LEMMA

1.      State Euclid’s division lemma for positive integers

2.      Apply Euclid’s division lemma for the following

(a)      25 , 6

(b)   8 , 19

(c)    20 ,4

HW 2         SUB TOPIC : EUCLID’S DIVISION ALGORITHM

1.      Use Euclid’s division lemma to find HCF of

(a)    196 & 38220     (b) 455 & 42       (c ) 81 & 237    (d) 867 & 255

2.      Show that any positive odd integer is of the form 4q+1 or 4q+3 , where q is some integer

3.      Two tankers contain 135 & 225 litres of water respectively. Find the maximum capacity of a container which can measure the water of either tanker in exact number of times

4.      If the HCF of 65 & 117 is expressible in the form 65m – 117  ; then find the value of m

HOLIDAY HOMEWORK