Q. 24.0( 55 Votes )

Write the followi

Answer :

(i) Given: D = {t | t3 = t, t R}


To find: Roster form of given set


t3 = t


t3 – t = 0


t(t2 – 1) = 0


t(t – 1)(t + 1) = 0


t = 0, -1 or 1


So, D = {-1, 0, 1}


(ii) Given:


To find: Roster form of given set



w – 2 = 3(w + 3)


w – 2 = 3w + 9


3w – w = - 9 – 2


2w = –11




(iii) Given: F = {x | x4 – 5x2 + 6 = 0, x R}


To find: Roster form of given set


x4 – 5x2 + 6 = 0


x4 – 3x2 – 2x2 + 6 = 0


x2(x2 – 3) – 2(x2 – 3) = 0


(x2 – 3) (x2 – 2) = 0


x2 = 3 or 2





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