Question

Find the equation of the circle with centre (4,3)and touches the circle x^2 +y^2=1.
Class 11 CIRCLES

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How to find common chord between parabola...

How to find common chord between parabola and circle??

one year ago

Answers : (1)

 

A collection of circles is called as a system or family of circles. There can be various types of family of circles

The general equation of a circle is x2 + y2 + 2gx + 2fy + c = 0. Since this equation involves three unknowns i.e. g, f and c so we need at least three conditions to get a unique circle.

For example, if we are given two circles and we want to determine the third circle touching both of them. We shall need one more condition. Without the condition we get the equation of family of circles which satisfies the two given conditions. Imposition of a third condition will result in the equation representing a particular circle.