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“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.

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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 = {(P1, P2): P1 and P2 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?

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Question 9. Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2) : L1 is parallel to L2 }. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

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This Post Has 11 Comments

  1. Anjali

    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

  2. Sohit

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

      1. Anjali

        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

  3. 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

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