1.

Let ABCD be square of side length 2 unit. C_(2) is the circle through verticles A,B,C,D and C_(1) is the circle touching all the sides of square ABCD. L is the line through A.A circle touches the line L and the circle C_(1) exrternally such that both the circles are on the same side of the line, then the locus of centre of the circle is

Answer»

ellipse
hyperbola
parabola
parts of straight line

SOLUTION :Let C be centre of the chord required circle.

Now, DRAW a line PARALLEL to L at a distance of `r_(1)` (RADIUS of `C_(1)`) from it.
Now, `CC_(1) = ACrArr C` lies on a parabola.


Discussion

No Comment Found

Related InterviewSolutions