QJEEM25Maddb6: JEE Main 2025 Mathematics - Class 11 JEEM25Maddb6 Solution: Let and be the two points of intersection of the line and the…

Let $A$ and $B$ be the two points of intersection of the line $y+5=0$ and the mirror image of the parabola $y^2=4 x$ with respect to the line $x+y+4=0$ . If $d$ denotes the distance between $A$ and $B$ , and a denotes the area of $\triangle S A B$ , where $S$ is the focus of the parabola $y^2=4 x$ , then the value of $(a+d)$ is __________.