JEE Advanced Model Paper 7 with solutions for online practice

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

Question : 38 of 66

Marks: +1, -0

The number of symmetric matrices A in Tp such that trace of A is not divisible by p butdet A is divisible by p is

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