LECTURE 7REAL NUMBERS ASSESSMENT 1

REAL NUMBERS_CLASS 10

LESSON 7

Good Morning Boys !

Hope you have had a rested Lo...ng week end !  Me too ! 😀

And, Hope that you have revised for today’s class test !! 👍

Instructions for taking the class test :

    You will have to click on the link given below “TAKE CLASS TEST”.

TAKE CLASS TEST

https://docs.google.com/forms/d/e/1FAIpQLSeibgi_gZA5zrjNRqo0VZxxXCA5GajbvfJ7wzXK5bEoeLpxIw/viewform?usp=sf_link

Thank you for taking the class test!👍

Home work : Complete the following assignment in your notebooks

REAL NUMBERS {assignment based on Board papers)

1) Prove that √2 is irrational                                                                                 [CBSE 2008,2019]

2) Prove that the following are irrationals:-

  (i) 2- √3          (ii) 5-2√3                                                                                 [CBSE 2008]

   (iii) 3-5√2        (iv) 4-5√3         (v) 7+3√2                                                                [CBSE 2010]

3)  Find the HCF of 1260 and 7344 using Euclid’s algorithm.                               [CBSE 2019]

4) Use Euclid’s  division Lemma to show that the square of any positive integer is of the form 9q or 9q +1 or 9q+8 for some integer q.                                                                  [CBSE 2009 c]

5) Show that one and only one out of n, n+2,n+4 is divisible by 3, where n is any positive integer.                                                                                                                           [CBSE 2008C]

6)  Use Euclid’s  division Lemma to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m.                                                                    [CBSE 2008]

7)  Show that every positive odd integer is of the form (4q+ 1) or (4q+ 3), where  q is some integer.                                                                                                                          [CBSE 2019]

8)  Show that (3 +√7)/5 is an irrational number, given that √7 is irrational.    [CBSE 2019]

9)   Prove that(n² + n) is divisible by 2 for any positive integer n.                       [CBSE 2019C]

10)  Prove that (2 +√3)/5 is an irrational number, given that √3 is irrational.  [CBSE 2019]

That will be all for today !

See you in the next class on 3^rd April 2020

Take a good care of yourselves !

Saturday, March 28, 2020

"Education 

must foster people 

who intuitively 

understand and know--in their minds, 

in their hearts, 

with 

their entire being

--the irreplaceable value of human beings 

and 

the natural world. 

I believe 

such education 

embodies the timeless struggle 

of 

human civilization 

to 

create an unerring path to peace."

-Daisaku Ikeda

Friday, March 27, 2020

"You must not 

for one instant 

give up 

the effort to build 

new lives for yourselves. 

Creativity means 

to push open 

the heavy, groaning doorway 

to life"

Dr. Daisaku Ikeda

Tuesday, March 24, 2020

“Rise to the challenges that life presents you. 

You can't develop genuine character 

and ability 

by sidestepping 

adversity 

and 

struggle.”

― Daisaku Ikeda

A very profound thought shared by Dr. Daisaku Ikeda on Sustainable Developmental Goals (SDG):

"The problem is 

not simply one of suffering 

but 

of how we face 

that suffering 

and 

the kinds of action 

we take 

in response."