Transverse Common Tangents

A common tangent is called a transverse common tangent if the circles lie on opposite sides of it. 

Transverse Common Tangents

In the figure, WX is a transverse common tangent as the circle with centre O lies below it and the circle with P lie above it.

YZ is the other transverse common tangent as the circle with centre O lies above it and the circle with centre P lies below it. A transverse common tangent is possible only when the circles are apart.



You might like these

  • Problems on Relation Between Tangent and Secant | Square of Tangent

    Here we will solve different types of Problems on relation between tangent and secant. 1. XP is a secant and PT is a tangent to a circle. If PT = 15 cm and XY = 8YP, find XP. Solution: XP = XY + YP = 8YP + YP = 9YP. Let YP = x. Then XP = 9x. Now, XP × YP = PT^2, as the

  • Problems on Two Tangents to a Circle from an External Point | Diagram

    We will solve some Problems on two tangents to a circle from an external point. 1. If OX any OY are radii and PX and PY are tangents to the circle, assign a special name to the quadrilateral OXPY and justify your answer. Solution: OX = OY, are radii of a circle are equal.

  • Solved Examples on the Basic Properties of Tangents | Tangent Circle

    The solved examples on the basic properties of tangents will help us to understand how to solve different type problems on properties of triangle. 1. Two concentric circles have their centres at O. OM = 4 cm and ON = 5 cm. XY is a chord of the outer circle and a tangent to

  • Circumcentre and Incentre of a Triangle | Radius of Circumcircle

    We will discuss circumcentre and incentre of a triangle. In general, the incentre and the circumcentre of a triangle are two distinct points. Here in the triangle XYZ, the incentre is at P and the circumcentre is at O. A special case: an equilateral triangle, the bisector

  • Incircle of a Triangle |Incentre of the Triangle|Point of Intersection

    We will discuss here the Incircle of a triangle and the incentre of the triangle. The circle that lies inside a triangle and touches all the three sides of the triangle is known as the incircle of the triangle. If all the three sides of a triangle touch a circle then the




10th Grade Math

From Transverse Common Tangents to HOME PAGE



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.