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MathsHardMCQ2022 · 26 Jul Shift 1

Q63.Let S = {θ ∈[0, 2π] : 82 sin2 θ + 82 cos2 θ = 16} . Then to: (1) 0 (2) −2 (3) −4 (4) 12

What This Question Tests

This question combines the concept of geometric mean for two different GPs, requiring the calculation of the product of terms and then solving for 'n' before evaluating a summation.

Concepts Tested

Geometric progression (GP)Geometric meanProperties of exponentsSummation

Formulas Used

GM = (a1 * a2 * ... * an)^(1/n)

a^m * a^n = a^(m+n)

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