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A1 = [a1] as a ag Ag=la, a10 all! 3 12 1...

A1 = [a1] as a ag Ag=la, a10 all! 3 12 13 14

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If (1+x)^10 = a0 + a1 x + a2 x^2 + a3 x^3 + a4 x^4 + a5 x^5 + a6 x^6 +.... a10 x^10), then the value of ( a0 - a2 + a4 - a6 + a8 -a10)^2 + (a1 - a3 + a5 -a7 + a9)^2 is :

A_1 = [a_1] , A_2=[[a_2 , a_3],[a_4 ,a_5]] , A_3=[[a_6,a_7,a_8],[a_9,a_10,a_11],[a_12,a_13,a_14]]............................A_n=[..........]where a_r=[log_2r] ([.] denotes greatest integer ) then trace of A_10

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For any three sets A_1 , A_2 ,A_3 . Let B_1 = A_1 , B_2 = A_2 - A_1 and B_3 = A_3 - A_1 cup A_2 , then which of the following statement is always true ?

Let a_1,a_2 ,…. , a_10 be in A.P. and h_1,h_2 …. h_10 be in H.P. If a_1=h_1=2 and a_10 = h_10 =3 , then a_4 h_7 is :

Let a_1,a_2 ,…. , a_10 be in A.P. and h_1,h_2 …. h_10 be in H.P. If a_1=h_1=2 and a_10 = h_10 =3 , then a_4 h_7 is :