A) 2
B) 4
C) 6
D) 8
Correct Answer: B
Solution :
Let\[\alpha ,\,\,\beta \]be the roots of given quadratic equation. Then, \[\alpha +\beta =\frac{4+\sqrt{5}}{5+\sqrt{2}}\]and\[\alpha \beta =\frac{8+2\sqrt{5}}{5+\sqrt{2}}\] Again,\[H\]be the harmonic mean between a and\[\beta \], then\[H=\frac{2\alpha \beta }{\alpha +\beta }=\frac{16+4\sqrt{5}}{4+\sqrt{5}}=4\]You need to login to perform this action.
You will be redirected in
3 sec