Question

Please help Q6: equation of all straight lines with a fixed distance p from the origin..

Answer 1

with fixed distance from a point, you are not going to have a straight line. Instead, you will have a circle... fixed point being center of circle.

Answer 2

it is in the form of
XcosA +YsinA =P
where P is the perpendicular distance ....and A is the parametre

Answer 3

the normal form.. thank you.

Answer 4

If your asking about with "which are at a fixed distance p from the origin.?"

let the eqn of the line be "x cos(w) + y Sin(w) = p (remember the normal form of st line in xith class, where eqn of line whose distance from origin is 'p ' and 'w ' is the angle which perpendicular from origin makes from +ve side of 'x ' axis is x Cos(w) + y Sin(w) = p OK?

now to form diff eqn of above line, we have two unknown constants i.e. 'w ' and 'p ' so we need to differentiate it two times (as there are two unknown constants.)

Im not sure, but thats my answer..lol

Answer 5

thank you very much

Answer 6

Your welcome XD