Q. A variable line $y=m x+\frac{1}{2}(1-m) \forall m \in R$ either intersects or touches curves $y=\frac{3}{2}+\left(x+\frac{1}{2}\right)^2$ and $(2 y-3)^2=4\left[(2 x+1)^2-4\right]$ in total 3 points then Find absolute sum of all possible real values of $m$.
JEE AdvancedJEE Advanced 2018
Solution:
