The equation of a parabola is $25\left[(\mathrm{x}-2{)}^2+(\mathrm{y}+5{)}^2\right]=(3\mathrm{x}+4\mathrm{y}-1{)}^2$ For this parabola

EQ of parabola is 
$(\mathrm{x}-2{)}^2+(\mathrm{y}+5{)}^2={\left|\frac{3\mathrm{x}+4\mathrm{y}-1}{\sqrt{3^2+4^2}}\right|}^2$
Focus = S(2, – 5)
Equation of directrix is 3x + 4y – 1 = 0;
Eq. of axis is 4x – 3y – 23=0 Eq. of L.R is
$\Rightarrow$ 3x + 4y + 14 = 0
Eq. of tangent at vertex is $3\mathrm{x}+4\mathrm{y}+\frac{14-1}{2}=0\Rightarrow 6\mathrm{x}+8\mathrm{y}+13=0$