Find the equation of the locus of the mid-point of the chord

来源：学生作业帮编辑：搜狗做题网作业帮分类：数学作业时间：2024/07/11 14:23:47

Find the equation of the locus of the mid-point of the chord of
the curve x²+4y²=1 with gradient 1.

x^2+4y^2=1与x=y+c的交点为5y^2+2cy+c^2-1=0, 5x^2-8cx+4c^2-1=0.
所以中点为(4c/5, -c/5)
所以中点的曲线a(t)=(4t/5, -t/5),或x+4y=0
再问：请问你的(4c/5, -c/5)是怎样算出来的？

Find the equation of the locus of the mid-point of the chord Find the equation of the line OP find the equation of the normal at the point (1,2)to the gra Find the turning point of the 这么做这数学(find the equation of the tangent) Find the equation of a line in standard form given: Find an equation of the tangent line to the graph of the fun From the point of the point of a 1.the equation of the perpendicular bisector of the segment Find the equation of the perpendicular bisector of A(-2,1)an Find the equation of line tangent to the graph of f(x)=e+ln