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Quadratic Equation and Inequalities question

2011 · Shift 1 · Q28

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JEE Advanced
Mathematics
Quadratic Equation and Inequalities
2011 · Shift 1 · Q28

Quadratic Equation and Inequalities question

2011 · Shift 1 · Q28

JEE AdvancedMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let

\left( {{x_0},{y_0}} \right)

be the solution of the following equations

\begin{matrix} {{{\left( {2x} \right)}^{\ell n2}}\, = {{\left( {3y} \right)}^{\ell n3}}} \\ {{3^{\ell nx}}\, = {2^{\ell ny}}} \\ \end{matrix}

Then

{x_0}

is

A
${1 \over 6}$
B
${1 \over 3}$
C
${1 \over 2}$
D
$6$

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