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Consider ax ^(4) +(7a -2b) x ^(3) + (12a...

Consider `ax ^(4) +(7a -2b) x ^(3) + (12a-14b-c ) x^(2) - (2ab +7c) x+1-12c =0,` has no real roots and `f _(1)(x)=sqrt(log _((pi+e))(ax ^(4) + (7a-2b) x ^(3) + (12a-14b-c) x ^(2) -(24 b +7c) x+1 -12c))/(sqrta sqrt(- sgn (1+ ac+ b^(2))))`
`f _(2) (x) = -2+ 2log _(sqrt2) cos (tan ^(-1) (sin (pi(cos (pi ( x+ (7 )/(2))))))).` Then match the following :

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The correct Answer is:
`A toS; Bto P; C to Q; D to R`
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