“Try to be a rainbow in someone’s cloud.” —*Maya Angelou*

**Question 10.** Let A = {0, 1, 2, 3, 4} and define a relation R on A as follows: R = {(0, 0), (0, 4), (1, 1), (1, 3), (2, 2), (3, 1), (3, 3), (4, 0), (4, 4)}. As R is an equivalence relation on A. Find the distinct equivalence classes of R.

**Question 11.** Let R be the relation on set A {0, 1, 2, 3, …, 10} given by R = {(a, b) : (a – b) is divisible by 4}. Show that R is an equivalence relation. Also, write all elements related to 4.

**Question 8.** Show that the relation R defined in the set A of all polygons as R = {(P_{1}, P_{2}): P_{1} and P_{2} have same number of sides}, is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3, 4 and 5?

**Question 9.** Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L_{1}, L_{2}) : L_{1} is parallel to L_{2} }. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

Sir i do not agree from your point that line is parallel to itself,

Coz I have google just now

Definition of parallel lines is that line which never meet and do not intersect each other

But jab apne slopes ki bat ki, so I little confused, ki \\ lines khud se // hogi ki nahi?

Will u explain this in ur next leacture

Where your booklet

Your exclusive membership homepage has all the details.

This video have high resolution , so I am unable to watch this in 480p please reduced to 360p

Sir new video lecture kab uploaded ho rahe Hai.thanks sir.

Please check the following link: https://ashishkumarletslearn.com/relations-and-functions-p3-l2-class-12/#themify-popup-41261

Sir apne last lecture me bola tha, ncert ka Q-11 ka 2nd part is lecture me padhaoge, but vo is leacture me nahi hai, so pls bta dijiye Q-11 k 2nd part konse lecture me h

sir why lecture of 1.4 and miscellaneous not uploaded?

Those will be made available from upcoming session.

You are awesome sir…!i left my tution in 11 th class just to study from uh..nd still i will be studing from uh..bcz you are the best

Thank you sir. Maine pura chapter aapse hi samjha h.