Saved Bookmarks
| 1. |
Find the distance between A(at^2,2at1) B(at2^2,2at2).If you don't know the ask me I know it, it's a hard and important questions.Hence thought to share with all |
|
Answer» Step-by-step EXPLANATION: Given:-The points are A(at1^2,2at1) B(at2^2,2at2). To find:-find the distance between A(at1^2,2at1) B(at2^2,2at2). SOLUTION:-Given points are A(at1^2,2at1) ,B(at2^2,2at2). Let (x1, y1)=A(at^2,2at1) =>x1=at1^2 and y1=2at1 and (x2, y2)=B(at2^2,2at2).=>x2=at2^2 and y2=2at2 We KNOW that The distance between the two points (x1, y1)and (x2, y2) is√[(x2-x1)^2+(y2-y1)^2] units The distance between A and B = AB =>√[(at2^2-at1^2)^2+(2at2-2at1)^2] =>AB=√[{a(t2^2-t1^2)}^2+{2a(t2-t1)}^2] =>AB=√[a^2(t2^2-t1^2)^2+4a^2(t2-t1)^2] =>AB=√[a^2{(t2^2-t1^2)}^2+4(t2-t1)}^2] =>AB=a√[{(t2^2-t1^2)}^2+4(t2-t1)}^2] =>AB=a√[{(t2+t1)^2(t2-t1)^2}+4(t2-t1)^2] =>AB=a√[(t2-t1)^2{(t2+t1)^2+4}] =>AB=a(t2-t1)√[(t2+t1)^2+4] units Answer:-The distance between them is a(t2-t1)√[(t2+t1)^2+4] units Used formulae:-The distance between the two points (x1, y1)and (x2, y2) is√[(x2-x1)^2+(y2-y1)^2] units |
|