IIT-JEE 2012 Paper 1 Offline | Quadratic Equation and Inequalities Question 14 | Mathematics

IIT-JEE 2012 Paper 1 Offline

Numerical

-0

The value of $$6 + {\log _{3/2}}\left( {{1 \over {3\sqrt 2 }}\sqrt {4 - {1 \over {3\sqrt 2 }}\sqrt {4 - {1 \over {3\sqrt 2 }}\sqrt {4 - {1 \over {3\sqrt 2 }}...} } } } \right)$$ is __________.

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IIT-JEE 2011 Paper 1 Offline

Numerical

-0

The minimum value of the sum of real numbers $${a^{ - 5}},\,{a^{ - 4}},\,3{a^{ - 3}},\,1,\,{a^8}$$ and $${a^{10}}$$ where $$a > 0$$ is

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IIT-JEE 2011 Paper 2 Offline

Numerical

-0

The number of distinct real roots of $${x^4} - 4{x^3} + 12{x^2} + x - 1 = 0$$

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IIT-JEE 2009 Paper 2 Offline

Numerical

-1

The smallest value of $$k$$, for which both the roots of the equation $$${x^2} - 8kx + 16\left( {{k^2} - k + 1} \right) = 0$$$ are real, distinct and have values at least 4, is

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JEE Advanced Subjects