Mathematics - Quadratic Equation Question with Solution | TestHub

Let$\alpha$and$\beta$be two real roots of the equation$\left(k+1\right){\mathrm{t}\mathrm{a}\mathrm{n}}^{2}x-\sqrt{2}\cdot \lambda \tan x=\left(1-k\right),\mathrm{}$where$k\left(\ne -1\right)$and$\lambda$are real numbers. If${\mathrm{t}\mathrm{a}\mathrm{n}}^2\left(\alpha +\beta \right)=50,$then a value of$\lambda$is