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There Are Three Three Sets Are Given In Column A And Column B 1 L A T

1) {L, A, T} (A) {x / x ∈ z, x2 < 5} 2) {x z / x3 – x... View Article

Solution: (1) 5 = 2 (m) – 5 m = 5 n = 2 (6) – 5 n = 7

Solution: (4) n (A – B) + n (B – A) = n (A) + n (B) – 2n (A... View Article

Solution: (4) The number of elements in A = 0 n (P (A)) = 20 = 1 P (A) consists... View Article

Suppose sets Ai (i = 1, 2, …. 60) each set having 12 elements and set Bj (j = 1,... View Article

Solution: (1) tan θ + sec θ = √2 sec θ sin θ = √2 – 1 sec θ –... View Article

Solution: (4) Say x families are living in the town A = {families who own scooter} B = {families who... View Article

Solution: (4) X = {(1, 2, 7), (1, 3, 6), (1, 4, 5), (2, 3, 5)} element of X which... View Article

Solution: (1) n((A x B) ∩ (B x A)) = n ((A ∩ B) x (B ∩ A)) = n... View Article

Solution: (1) X ∪ {3,4} – {3, 4}= {1, 2, 5, 6} is the smallest set

Solution: (2) The percentage of people who like mangoes = n (A) = 70 The percentage of people who like... View Article

Solution: The number of subsets of A consisting of m elements is 112 > the subsets of B having n... View Article

Solution: (1) bN = {bx/x ∈ N} = the set that consists of +ve integer multiples of b cN =... View Article

Let g (x) = 1 + x – [x] and f (x) =. Then for all x, f (g (x))... View Article

Solution: (4) f (x) = [log2 (x + 3)] / [x2 + 3x + 2] [x2 + 3x + 2]... View Article

1) [x + (√x2 – 4)] / 2 2) [x] / [1 + x2] 3) [x – (√x2 – 4)]... View Article

1) 10x 2) x10 3) e10 4) ex Solution: (1) Let y = f (x) = log10 x x =... View Article

Solution: (4) f (f (x)) = [a2x] / [ax + x + 1] Since, f (f (x)) = x, [a2x]... View Article

Solution: (3) Putting y = x, 2f (x) = f (2x √1 – y2) Take x = sin θ, 2... View Article

Solution: (2) Let y = f (x) = [x – [x]] / [1 + x – [x]], x ∈ R... View Article