If the quadratic equation x 2 + 12 x + k = 0 x^2 + 12x + k = 0 x 2 + 12 x + k = 0 has roots m m m and n n n such that m − n = 2 m - n = 2 m − n = 2 , ...

Question

If the quadratic equation x2+12x+k=0x^2 + 12x + k = 0 has roots mm and nn such that mn=2m - n = 2, which of the following statements is/are correct?

(I) mimesnm imes n is a multiple of 5

(II) mimesn>36m imes n > 36

(III) m+n>11m + n > 11

(IV) m>5m > 5

Options

A.

Only I

B.

Only II

C.

Only III

D.

Only I and IV

E.

Only IV

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