A series of circles have their centres on a given straight line and their radii proportional tothe distances
of their corresponding centres from a given point in that line .find the envelope.plz solve this question step by step.
1
Expert's answer
2012-12-03T11:00:56-0500
Let the given point is A. Let O is a center of typicalcircle. AC is the envelope. The radius of circle OC = AO * k. The angle ACO = 90 degrees. So, AC^2 + OC^2 = AO^2. AC = sqrt(AO^2 - CO^2) = sqrt(AO^2 - AO^2 * k^2) = AO *sqrt(1 - k^2).
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
"assignmentexpert.com" is professional group of people in Math subjects! They did assignments in very high level of mathematical modelling in the best quality. Thanks a lot
Comments
Leave a comment