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Let x^2 - (m - 3) x + m = 0 (m in R) be...

Let `x^2 - (m - 3) x + m = 0 (m in R)` be a quadratic equation, then find the values of 'm' for which both
(a) the roots are greater than 2.
(b) both roots are positive,
( c) one root is positive and other is negative.
( d) One root is greater than 2 and other smaller than 1
( e) Roots are equal in magnitude and opposite in sign,
( f) both roots lie in the interval (1, 2)

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