The area of a triangle formed by line $L$ and coordinate axes is $7$ square units, if the equation of line $L$ is $x+5y=\lambda$ then ${\lambda }^2$ is equal to

Locus of the points which are at equal distances from $3 x+4 y-11=0$ and $12 x+5 y+2=0$ and which is near to the origin is $ax+by-133=0$ then $a+b$ is equal to

The distance between the pair of parallel lines $x^2+2xy+y^2-8ax-8ay-9a^2=0$ is $\left(ka\right)$ units then $k^2$ is equal to -