No.of nonzero terms in $(1 + x)^{42} + (1 - x)^{42} + (1 + i x)^{42} + (1 - i x)^{42}$ is

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Solution

The correct option is A 11
Using Bionomial expansion of series we see that every 4th term starting from $x^{0}$ remains and others get is :
$x^{0}, x^{4}, x^{8}, x^{12}, x^{16}, x^{20}, x^{24}, x^{28}, x^{32}, x^{36}, x^{40}$
remain 11 terms

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