Question

Two circles with centres P and R touch each other
externally at O. A line passing through O cuts the circles
at T and Srespectively. Then.
(a) PT and RS are of equal length
(b) PT and RS are perpendicular to each other
(c) PT and RS are intersecting
(d) PT and RS are parallel​

Answer 1

Answer:

option (4)  PT and RS are parallel

Step-by-step explanation:

The two circles with centres P and R touch each other externally at 0. A line passing through O cut the circles at T and S respectively.

then ,

∠POT  = ∠ROS  ( opposite angles )

PO = PT  ( Radius)

∠POT = ∠PTO

& in Δ ROS

RO = RS  ( Radius)

∠ROS  = ∠OSR

therefore

PT is parallel to RS .

hence ,

option (4)  PT and RS are parallel.