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Trigonometric Ratio and Identites question

2006 · Shift 0 · Q53

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2006 · Shift 0 · Q53

Trigonometric Ratio and Identites question

2006 · Shift 0 · Q53

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

If

0 \lt x \lt \pi

and

\cos x + \sin x = {1 \over 2},

then

\tan x

is :

A
${{\left( {1 - \sqrt 7 } \right)} \over 4}$
B
${{\left( {4 - \sqrt 7 } \right)} \over 3}$
C
$- {{\left( {4 + \sqrt 7 } \right)} \over 3}$
D
${{\left( {1 + \sqrt 7 } \right)} \over 4}$

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