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Trigonometric Functions and Equations question

2017 · Shift 2 · Q33

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JEE Advanced
Mathematics
Trigonometric Functions and Equations
2017 · Shift 2 · Q33

Trigonometric Functions and Equations question

2017 · Shift 2 · Q33

JEE AdvancedMathematicsTrigonometric Functions and EquationsMCQ+3 / −1

Let O be the origin and

\overrightarrow{OX}

,

\overrightarrow{OY}

,

\overrightarrow{OZ}

be three unit vectors in the directions of the sides

\overrightarrow{QR}

,

\overrightarrow{RP}

,

\overrightarrow{PQ}

respectively, of a triangle PQR.If the triangle PQR varies, then the minimum value of cos(P + Q) + cos(Q + R) + cos(R + P) is

A
$- {3 \over 2}$
B
${3 \over 2}$
C
${5 \over 3}$
D
$- {5 \over 3}$

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