If 2 + 3i is one of the roots of the equation 2x 3 – 9x 2 + kx – 13 = 0, k Î R, then the real root of this equation :

Question:

If $2+3 i$ is one of the roots of the equation $2 x^{3}-9 x^{2}+k x-13$ $=0, \mathrm{k} \in \mathrm{R}$, then the real root of this equation:

  1. exists and is equal to $-\frac{1}{2}$.

  2. exists and is equal to $\frac{1}{2}$.

  3. exists and is equal to 1 .

  4. does not exist.

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year Online April 10, 2015

Solution:

Leave a Reply

Your email address will not be published. Required fields are marked *

error: Content is protected !!