Tangents are drawn at three points $\mathrm{P}\left(\mathrm{t}_1\right), \mathrm{Q}\left(\mathrm{t}_2\right), \mathrm{R}\left(\mathrm{t}_3\right)$ on the parabola $\mathrm{y}^2=\mathrm{x}$. Let these tangents intersect each other at the points $\mathrm{L}, \mathrm{M}, \mathrm{N}$. If $\mathrm{t}_1=2, \mathrm{t}_2=-4, \mathrm{t}_3=6$, then the area of the triangle LMN is

• A

  $24$
• B

  $18.5$
• Correct answer
  C

  $7.5$
• D

  $12$

Hence, the correct answer is option: 'C'.