Homework Help: math

Posted by wong on Wednesday, September 26, 2007 at 2:45am.

a straight line passing through the origin with slope m cuts the circle x^2+y^2-4x-2y-4=0 at A(a,b) and B(b,c).

A. Find a quadratic equation whose roots are a and c
ans: (1+m^2)x^2-(2m+4)x-4=0

B. if P is the mid-point of AB, find the coordinates of P in terms of m.
ans: P= (m+2)/(1+m^2), (m(m+2))/(1+m^2)

C. as m varies, the locus of P is part of a curve C. Find the equation of C.
ans: x^2+y^2=2x+y

I know how to do question A and question B, but how to do C? any idea?

No one has answered this question yet.

Answer this Question

Related Questions

Algebra - Is it possible to find the slope of a line if the equation has two ys...
math - i have more than one question so if u no any of the answers please tell ...
Algebra - I'm suppose to write an equation with the following information: ...
Math - I have a series of questions that I did. They lead up to the last ...
Algebra - Can someone check my answers? 1. Write the equation of the line that ...
math and slopes - Help. Determine the slope of the line. The line whose equation...
math - a) Determine an equation for the line with slope 3 and passing through ...
Calculus - Determine the equation of the line described by the given information...
Math 101 - Find the equation for each of the following items below: a. A line ...
NEED MAJOR HELP! *QUADRATIC EQUATIONS* - Write the equation for the circle with ...

For Further Reading

First Name:
School Subject:
Answer: