Discuss resolution of sine into factors. Prove that 2" [= sin() = vñ. Define
Cartesian product with example. Give an example of partial order relation which is not
total order. Show that the necessary and sufficient condition for a matrix to be invertible
2 31
is that it is non-singular. If A denote the transpose of a matrix A and A= 0 -1 4
2
then find (A)- Solve x'-18x'+ 136x?+1600-0 whose roots are connoted by the relation
aß = yo. Find number of tangents when two circles touches externally intemally,
1
iB) = x+in
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