Home
Class 11
MATHS
Two rods, of lengths a and b, slide alon...

Two rods, of lengths a and b, slide along the axes, which are rectangular, in such a manner that their ends are always concyclic, prove that the locus of the centre of the circle passing through these ends is the curve `4 ( x^(2) - y^(2)) = a^(2) - b^(2)`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Two rods of lengths a and b slide along the x- axis and y -axis respectively in such a manner that their ends are concyclic.The locus of the centre of the circle passing through the end points is:

Two rods of lengths a and b slide along the x- and y- axis,respectively,in such a manner that their ends are concyclic.Find the locus of the center of the circle passing through the endpoints.

The locus of the centre of the circle passing through the intersection of the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x+y=0 is

Centre of a circle passing through point (0,1) and touching the curve y=x^2 at (2,4) is

Prove that the locus of the centre of the circle (1)/(2)(x^(2)+y^(2))+xcostheta+ysintheta-4=0 is x^(2)+y^(2)=1