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Properties of Triangle question

2010 · Shift 1 · Q50

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PYQ Library
JEE Advanced
Mathematics
Properties of Triangle
2010 · Shift 1 · Q50

Properties of Triangle question

2010 · Shift 1 · Q50

JEE AdvancedMathematicsProperties of TriangleMCQ+4 / −1

Let

ABC

be a triangle such that

\angle ACB = {\pi \over 6}

and let

a, b

and

c

denote the lengths of the sides opposite to

A

,

B

and

C

respectively. The value(s) of

x

for which

a = {x^2} + x + 1,\,\,\,b = {x^2} - 1\,\,\,

and

c = 2x + 1

is (are)

A
$- \left( {2 + \sqrt 3 } \right)$
B
${1 + \sqrt 3 }$
C
${2 + \sqrt 3 }$
D
${4 \sqrt 3 }$

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