1
JEE Advanced 2014 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
The quadratic equation $$p(x)$$ $$ = 0$$ with real coefficients has purely imaginary roots. Then the equation $$p(p(x))=0$$ has
2
IIT-JEE 2012 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-1
Let $$\alpha$$(a) and $$\beta$$(a) be the roots of the equation $$(\root 3 \of {1 + a} - 1){x^2} + (\sqrt {1 + a} - 1)x + (\root 6 \of {1 + a} - 1) = 0$$ where $$a > - 1$$. Then $$\mathop {\lim }\limits_{a \to {0^ + }} \alpha (a)$$ and $$\mathop {\lim }\limits_{a \to {0^ + }} \beta (a)$$ are
3
IIT-JEE 2011 Paper 1 Offline
MCQ (Single Correct Answer)
+4
-1
Let $$\alpha $$ and $$\beta $$ be the roots of $${x^2} - 6x - 2 = 0,$$ with $$\alpha > \beta .$$ If $${a_n} = {\alpha ^n} - {\beta ^n}$$ for $$\,n \ge 1$$ then the value of $${{{a_{10}} - 2{a_8}} \over {2{a_9}}}$$ is
4
IIT-JEE 2011 Paper 1 Offline
MCQ (Single Correct Answer)
+4
-1
Let $$\left( {{x_0},{y_0}} \right)$$ be the solution of the following equations
$$\matrix{ {{{\left( {2x} \right)}^{\ell n2}}\, = {{\left( {3y} \right)}^{\ell n3}}} \cr {{3^{\ell nx}}\, = {2^{\ell ny}}} \cr } $$
Then $${x_0}$$ is
$$\matrix{ {{{\left( {2x} \right)}^{\ell n2}}\, = {{\left( {3y} \right)}^{\ell n3}}} \cr {{3^{\ell nx}}\, = {2^{\ell ny}}} \cr } $$
Then $${x_0}$$ is
Questions Asked from Quadratic Equation and Inequalities (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced 2020 Paper 1 Offline (1)
JEE Advanced 2017 Paper 2 Offline (2)
JEE Advanced 2016 Paper 1 Offline (1)
JEE Advanced 2014 Paper 2 Offline (1)
IIT-JEE 2012 Paper 2 Offline (1)
IIT-JEE 2011 Paper 1 Offline (2)
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IIT-JEE 2010 Paper 1 Offline (1)
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IIT-JEE 2007 (1)
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IIT-JEE 2004 Screening (2)
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IIT-JEE 1998 (1)
IIT-JEE 1994 (3)
IIT-JEE 1992 (1)
IIT-JEE 1991 (1)
IIT-JEE 1990 (1)
IIT-JEE 1987 (1)
IIT-JEE 1986 (1)
IIT-JEE 1985 (1)
IIT-JEE 1984 (2)
IIT-JEE 1982 (4)
IIT-JEE 1980 (3)
IIT-JEE 1979 (4)
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