Math Challenge

Ex. 6 Find t he equation of the tangent to the circle at (1, -2) .Verify that this line also touches the circle . Find also the point of contact. E x. 7Find, f(A), if A= and f(x) = EX.8 (I) Find the determinant of the matrix B . (II) Given that f( ) (the determinant of B) satisfies the equation f(A)=0, find the inverse of A. 22 5 xy  22 8 6 20 0 x y x y      1 2 2 ( 4 3 4 ) 4 4 5    2 1 x x  5 7 5 ( 0 4 1 ) 2 8 3 B         