Common Tangents #!#Family Of Circles

Family Of Circles|Common Tangents to Two Circles|OMR

Common Tangents of Circles

Common Tangents of Two Circles - Direct and Transverse Common Tangent

Chord of contact | Family of circles | Position of 2 circles | Number of common tangents | Length of common tangents based questions

(ii) The radical axis bisects the common tangents of two circles.

Suppose S_(1)" and "S_(2) are two unequal circles, AB and CD are the direct common tangents to these circles. A transverse common tangent PQ cuts AB in R and CD in S. If AB = 10, then RS is -

Statement 1 : The number of common tangents to the circles x^(2) +y^(2) -x =0 and x^(2) +y^(2) +x =0 is 3. Statement 2 : If two circles touch each other externally then it has two direct common tangents and one indirect common tangent.

Statement 1 : The number of common tangents to the circles x^(2) + y^(2) =4 and x^(2) + y^(2) -6x - 6y = 24 is 3. Statement 2 : If two circles touch each other externally thenit has two direct common tangents and one indirect common tangent.