A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. Then the locus of the center of this circle, is:
an ellipse
a parabola
a straight line
a hyperbola
Locus -
Path followed by a point p(x,y) under given condition (s).
- wherein
It is satisfied by all the points (x,y) on the locus.
General form of a circle -
- wherein
centre =
radius =
Equation of Circle
passes through (0 , 2b )
.......................(1)
..........................(2)
Putting in (1)
which is equation of parabola.
an ellipse
Option 2)a parabola
Option 3)a straight line
Option 4)a hyperbola
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