Quadratic Equations

JEE Advanced · Mathematics · 6 past questions

1. Q1 2015 Paper 2

   Let $S$ be the set of all non-zero real numbers $\alpha$ such that the quadratic equation…

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2. Q2 2014 Paper 2

   The quadratic equation $p(x)=0$ with real coefficients has purely imaginary roots. Then the equation…

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3. Q3 2011 Paper 2

   A value of $b$ for which the equations…

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4. Q4 2010 Paper 1

   Let p and q be real numbers such that $p\neq0$, $p^3\neq q$ and $p^3\neq-q$. If $\alpha$ and $\beta$ are…

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5. Q5 2009 Paper 2

   The smallest value of $k$, for which both the roots of the equation $x^2-8kx+16(k^2-k+1)=0$ are real…

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6. Q6 2008 Paper 2

   Let $a,b,c,p,q$ be real numbers. Suppose $\alpha,\beta$ are the roots of the equation $x^2+2px+q=0$ and…

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