`|{:(5^2,5^3,5^4),(5^3,5^4,5^5),(5^4,5^6,5^7):}|=0`

The value of the determinant |(5^(2),5^(3),5^(4)),(5^(3),5^(4),5^(5)),(5^(4),5^(6),5^(7))| is -

|{:(2,3,4),(3,4,5),(4,5,6):}|=0

|{:(1,3,5),(2,4,3),(4,6,7):}|

|{:(5,2,3),(7,3,4),(9,4,5):}|=0

|{:(3,5,x),(7,x,7),(x,5,3):}|=0

Find the sum of 10th term of the series (1)+(5+5^(2))+(5^(3)+5^(4)+5^(5))+(5+5^(6)+5^(7)+5^(8)+5^(9))+…

|{:(" "1,-3,5),(-2," "4,3),(" "4," "5,6):}|

|{:(a+1,a+4,a+2),(a+2,a+5,a+4),(a+3,a+6,a+6):}|=0

solve |{:(x-2," "3," "3),(" "3,x+4," "5),(" "3," "5,x+4):}|=0

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not ? (i) R={(4,1),(5,1),(6,7)} (ii) R={(2,3),(2,5),(3,3),(6,6)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (iv) R={(1,1),(2,1),(3,1),(4,1),(5,1)}