Question icon
Grade 11Differential Calculus

let (tana)x+(sina)y=a and (acoseca)x+(cosa)y=1 be two straight lines , a being the parameter .Let P be the point of intersection of two lines. In limiting position when a-->0 , the co-ordinates of P are

Profile image of Ajudiya Janvi
8 Years agoGrade 11
Answers icon

1 Answer

Profile image of Sayantan Mondal
8 Years ago
firstly this is a good question... and is a bit tricky...
   here comes 2 steps--
  1.    firstly solve the two lines for finding the point of intersection. i.e, x=[acosa-sina]/[sina-a]and y=[sin^2 a-a^2 cosa]/[sin^2 acosa-asinacosa].
  2. then comes the important part,   apply lim a tends to 0...[for my preference i used l Hospital’s Rule and the answer is (-1,_).. icouldnot do that sorry...   BUT I AM SURE THE PROCESS IS O.K