A line not parallel to the axes drawn through the point P(3,4) and inclined at an angle  $\theta$ to the positive direction of x-axis. If the lines meets the line x=6 and y=8 at R and S respectively then

• A

  PR = 3 sec $\theta$

• B

  PS = 4 cosec $\theta$

• C

  $\mathrm{PR}+\mathrm{PS}=\frac{1}{\sin 2\mathrm{\theta }}$

• D

  $\frac{9}{(\mathrm{PR}{)}^2}+\frac{16}{(\mathrm{PS}{)}^2}=1$