the area of the triangle formed by a line xcos alpha+y sin alpha=p with the coordinare axes is?coordinate axes is

Dear Student,
Please find below the solution to the asked query:

Let O be origin and line meet x and y axis at A and Brespectively.We havexcosα+ysinα=pFor x-axis, y=0xcosα+0=px=pcosαx=psecαHenceOA=psecαFor y-axisx=00+ysinα=py=psinαy=pcosecαHence OB=pcosecαArea of OAB=12×OA×OB=12×psecα×pcosecαArea=12p2secα.cosecα

Hope this information will clear your doubts about this topic.

If you have any doubts just ask here on the ask and answer forum and our experts will try to help you out as soon as possible.

  • -14
What are you looking for?