Prove that the line segment joining the points of contact of 2 parallel tangents of a circle, passes through the center of the circle
Answers
Answered by
3
Hey mate!!
Let the center of the circle be O. Let there be two tangents T1 and T2 touching the circle at P and Q. Let T1 and T2 be parallel.
Join PO and OQ. We know PO ⊥ T1 and OQ ⊥ T2 (radius & tangent).
Hence, OQ ⊥ T1 (as T1 || T2).
Hence, PO || OQ . Both have common point O. Hence POQ is a single straight line.
hope this helps you.
please mark it as brainliest
Let the center of the circle be O. Let there be two tangents T1 and T2 touching the circle at P and Q. Let T1 and T2 be parallel.
Join PO and OQ. We know PO ⊥ T1 and OQ ⊥ T2 (radius & tangent).
Hence, OQ ⊥ T1 (as T1 || T2).
Hence, PO || OQ . Both have common point O. Hence POQ is a single straight line.
hope this helps you.
please mark it as brainliest
Anonymous:
Thank you!!
ur welcome
: )
Similar questions