If the HCF of the polynomials (x-3) (3 x^2+10 x+b) and (3 x-2)(x^2-2 x+a) is (x- 3)(3 x-2), then ...

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If the HCF of the polynomials (x-3) (3 x^2+10 x+b) and (3 x-2)(x^2-2 x+a) is (x- 3)(3 x-2), then the relation between a and b is
(a) 3 a+8 b=0
(b) 8 a-3 b=0
(c) 8 a+3 b=0
(d) a-2 b=0

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