question_answer

If \[\alpha \] and \[\beta \] are the roots of the equation \[2{{x}^{2}}-7x+8=0,\]then the equation whose roots are \[(3\alpha -4\beta )\]and \[(3\beta -4\alpha )\] is____.

A)  \[2{{x}^{2}}+7x+98=0\]

B) \[~{{x}^{2}}+7x+98=0\]

C)  \[2{{x}^{2}}-7x-98=0\]

D)  \[2{{x}^{2}}-7x+98=0\]