1. Tardigrade
  2. Question
  3. Mathematics
  4. P A and P B are tangents to a circle S touching it at points A and B, respectively. C is a point on S in between A and B as shown in the figure. L C M is a tangent to S intersecting P A and P B in points L and M, respectively. Then the perimeter of the triangle P L M depends on

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. $P A$ and $P B$ are tangents to a circle $S$ touching it at points $A$ and $B$, respectively. $C$ is a point on $S$ in between $A$ and $B$ as shown in the figure. $L C M$ is a tangent to $S$ intersecting $P A$ and $P B$ in points $L$ and $M$, respectively. Then the perimeter of the triangle $P L M$ depends onMathematics Question Image

Conic Sections

Solution:

Perimeter of $\Delta P L M =P L+L C+C M+M P $
$=P L+L A+B M+M P $
$=P A+P B $