Point $(3,a)$ lies on the line represented by $2x-3y+5=0$. If $3a=p$, then find $p?$

If the distance between the points $\mathrm{A}(c,0)$ and $\mathrm{B}(0,-c)$ is denoted by $d,$ and $d=c\sqrt{m}$, find $m?$

If $\mathrm{P}(5,6)$ is the mid-point of the line segment joining $\mathrm{A}(6,5)$ and $\mathrm{B}(4,\mathrm{y})$, then find $\mathrm{y}$.

If $\mathrm{A}(1,2), \mathrm{B}(4,3)$ and $\mathrm{C}(6,6)$ are the three vertices of a parallelogram $\mathrm{ABCD}$. If the coordinates of $\mathrm{D}$ are $\left(\mathrm{x},\mathrm{y}\right)$, then find the value of $\left(\mathrm{x}+\mathrm{y}\right)$.

What is the distance between the points $A\left(\sin \theta -\cos \theta ,0\right)$ and $B\left(0,\sin \theta +\cos \theta \right)$? If the distance is $d$, and $d^2=m,$then write the value of $m$ only?

Coordinates of the point where the perpendicular bisector of the line segment joining the points $\mathrm{A}(1,5)$, and $\mathrm{B}(4,6)$ cuts the $y$-axis is $\left(x,y\right)$. If $x+y=m$, then write the value of $m$.