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Official 2018 Paper 1 · Q7

Paper 1Algebra

The non-zero constant kk is chosen so that the coefficients of x6x^6 in the expansions of (1+kx2)7(1+kx^2)^7 and (k+x)10(k+x)^{10} are equal.

What is the value of kk?

A16\frac16
B66
C66\frac{\sqrt6}6
D6\sqrt6
E3030\frac{\sqrt{30}}{30}
F30\sqrt{30}

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