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The equations x^3+4x^2+p x+q=0 and x^3+6...

The equations `x^3+4x^2+p x+q=0 and x^3+6x^2+p x+r=0` have two common roots, where `p,q,r in R.` If their uncommon roots are the roots of equation `x^2+2a x+8c=0,` then (i) a+c=8 (ii) a+c=2 (iii) 3q=2r (iv) 2q=3r

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