Let ${\rm{\alpha }},\,\,{\rm{\beta }}$ be any two positive values of $x$ for which $2\cos \,\,x,\;|\cos \,\,x|\;\;\,{\rm{and}}\;\,1 - 3\,\,{\cos ^2}x$ are in GP. The minimum value of $\left| {{\rm{\alpha }} - {\rm{\beta }}} \right|$ is

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

Let

\mathrm{\alpha },\,\,\mathrm{\beta }

be any two positive values of

x

for which

2\cos \,\,x,\;|\cos \,\,x|\;\;\,\mathrm{and}\;\,1 - 3\,\,{\cos ^2}x

are in GP. The minimum value of

\left| {\mathrm{\alpha } - \mathrm{\beta }} \right|

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the minimum value of |

\alpha - \beta

| is

\frac{\pi}{6}

, which is not among the given options.

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