1. Tardigrade
  2. Question
  3. Mathematics
  4. From the point (4,6), a pair of tangent lines is drawn to the parabola y2=8 x. The area of the triangle formed by these pairs of tangent lines and the chord of contact of the point (4,6) is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. From the point $(4,6)$, a pair of tangent lines is drawn to the parabola $y^{2}=8 x$. The area of the triangle formed by these pairs of tangent lines and the chord of contact of the point $(4,6)$ is

Conic Sections

Solution:

$A=\frac{\left(y_{1}^{2}-4 a x_{1}\right)^{3 / 2}}{2 a} ; x_{1}=4 ; y_{1}=6 ; a=2$