JEE Main 2005Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002If both the roots of the quadratic equation x2−2kx+k2+k−5=0{x^2} - 2kx + {k^2} + k - 5 = 0x2−2kx+k2+k−5=0 are less than 5, then kkk lies in the intervalAOption A. (5,6]\left( {5,6} \right](5,6]BOption B. (6, ∞)\left( {6,\,\infty } \right)(6,∞)COption C. (−∞, 4)\left( { - \infty ,\,4} \right)(−∞,4)DOption D. [4, 5]\left[ {4,\,5} \right][4,5]CheckSkip · show solution
