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JEE Advanced Model Paper 7 with solutions for online practice

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Passage-4

Let ‘p’ be an odd prime number and Tp = {A = [

a.b
c	a

] / a , b , c ∊ {0 , 1 , 2 , ..... , (p - 1)}} . Then answer the following

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Question : 37

Total: 66

The number of A in Tp such that A is either symmetric or skew – symmetric or both and detA is divisible by ‘p’ is

(p−1)2
2 (p - 1)
(p−1)2 + 1
2p - 1

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