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
Your Input ________
Answer
Correct Answer is 2
2
IIT-JEE 2009
Numerical
Let $$\left( {x,\,y,\,z} \right)$$ be points with integer coordinates satisfying the system of homogeneous equation:
$$$\matrix{
{3x - y - z = 0} \cr
{ - 3x + z = 0} \cr
{ - 3x + 2y + z = 0} \cr
} $$$
Then the number of such points for which $$^2 + {y^2} + {z^2} \le 100$$ is
Your Input ________
Answer
Correct Answer is 7
Questions Asked from Quadratic Equation and Inequalities
On those following papers in Numerical
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