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MathsHardMCQ2024 ยท 30 Jan Shift 2

Q62.Let ๐‘Ž and ๐‘ be two distinct positive real numbers. Let 11th term of a GP, whose first term is ๐‘Ž and third term is ๐‘, is equal to ๐‘th term of another GP, whose first term is ๐‘Ž and fifth term is ๐‘. Then ๐‘ is equal to (1) 20 (2) 25 (3) 21 (4) 24

What This Question Tests

This problem requires finding common roots of two polynomial equations, necessitating factoring one equation to identify potential roots and then testing these roots in the second equation, often involving properties of roots of unity.

Concepts Tested

Roots of unityAlgebraic manipulation of complex polynomialsCommon roots of equations

Formulas Used

z^3+1 = (z+1)(z^2-z+1)

z^n=1

๐Ÿ“š NCERT Sections This Tests

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