ICSE Class 10CISCE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Two Circle Touch Each Other Internally. Show that the Tangents Drawn to the Two Circles from Any Point on the Common Tangent Are Equal in Length. - ICSE Class 10 - Mathematics

Login
Create free account


      Forgot password?
ConceptTangent Properties - If Two Circles Touch, the Point of Contact Lies on the Straight Line Joining Their Centers

Question

Two circle touch each other internally. Show that the tangents drawn to the two circles from any point on the common tangent are equal in length.

Solution

From Q, QA and QP are two tangents to the circle with centre O
Therefore, QA = QP .......(i)
Similarly, from Q, QB and QP are two tangents to the circle with centre O'
Therefore, QB = QP .......(ii)
From (i) and (ii)
QA = QB
Therefore, tangents QA and QB are equal.

  Is there an error in this question or solution?

APPEARS IN

Solution Two Circle Touch Each Other Internally. Show that the Tangents Drawn to the Two Circles from Any Point on the Common Tangent Are Equal in Length. Concept: Tangent Properties - If Two Circles Touch, the Point of Contact Lies on the Straight Line Joining Their Centers.
S
View in app×