Given two circles C1 and C2 in a plane such that neither one of the two circles is contained in the other, there are either four common tangents when the circles do not intersect at all or the circles have three common tangents when they touch each other externally or only two common ...
A common tangent is a line that tangents multiple circles, generally two. Tangents can be divided into two types: internal and external tangents. Internal tangents are line segments that pass through the centre of the two circles whereas it is not the ca
The relation between two circles is that when they lie on the same plane they may intersect, circumscribe, separate, inscribe and include by following different conditions which we will be reading in the following article. The relationship between them f
Two circles with centres O and O' of radii 3 cm and 4 cm, respectively intersect at two points P and Q such that OP and O'P are tangents to the two circles. Find the length of common chord PQ. View Solution If the perpendicular bisector of a chord AB of a circle PXAQBY intersect...
The tangents of two circles intersect at a 90° angle, as shown above. If the radius of the small circle is 1 cm and the radius of the large circle is 3 cm, what is the minimum distance, in cm, between the two circles? ( ) A. 4√2 B. 3(√2-1) C. 4(√2-1) D. 6(...
Equation of a common tangent to the circlex2+y2−6x=0and the parabolay2=4xis View Solution find the common tangents of the circlex2+y2=2a2and the parabolay2=8ax View Solution A common tangent to the circlesx2+y2=4and(x−3)2+y2=1, is ...
Centre O of one circle lies on the circumference of the other circle and CD is drawn tangent to the circle with centre O' at A. Prove that OA bisects ∠BAC View Solution Q3 Two circles intersect at A and B. From a point P on one of these circles, two line s...
Geometry Circles Secant Two Tangents from One Point Using Tangents to Circumscribe a CircleTable of contents top Applet Practice Two tangents from a common point are congruent! The interactive applet below will show you this rule. Just drag the points around the screen and you'll see that-...
Select two circles (works just for two for now) Run one of the Metaball options (Arc, Inner Tangents or Outer Tangents) via the Plugins menu (or use Runner) Boom! A shape is drawn between the two circles ;) Installation Downloadthe latest release of the plugin ...
What is the maximum number of common tangents which can be drawn to the circle, if the distance between the circles is equal to the sum of their radii? View Solution What is the maximum number of common tangents which can be drawn to the circle, if the distance between the circles is...