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If the coefficients of \( x^{3} \) and \( x^{4} \) in the expansion of \( \left(1+a x+b x^{2}\right)(1-2 x)^{18} \) in p…

Q1

If the coefficients of \( x^{3} \) and \( x^{4} \) in the expansion of \( \left(1+a x+b x^{2}\right)(1-2 x)^{18} \) in powers of \( x \) are both zero, then \( (a, b) \) is equal to

a

\( \left(16, \frac{251}{3}\right) \)

b

\( \left(14, \frac{251}{3}\right) \)

c

\( \left(14, \frac{272}{3}\right) \)

d

\( \left(16, \frac{272}{3}\right) \)

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