Flag Analytical Geometry> find the locus of the middle points of ch...
question mark

find the locus of the middle points of chord of circle x^2+y^2=a^2 which pass through fixed point (h,k)

Pranjal Gupta , 8 Years ago
Grade 12th pass
anser 2 Answers
kumar

Last Activity: 8 Years ago

circle passing through origin and center lying on the x-axis is x^2+y^2......M is mid point of the AB.

Ajay

Last Activity: 8 Years ago

Let (x1, y1) be the middle point of chord of circle x2+y2=a2
Then equation of chord can be written as 
xx1+yy1=x12+y12
Since chord passes through (h,k) we have
hx1+ky1=x12+y12
Now replace x1 by x and y1 by y to get the locus of middle points as
x2+y2 = hx+ky

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...