\[\mathbf{PZ}.\mathbf{PY}=\mathbf{PZ}.\mathbf{PT}\] |
PXZ and PTY are similar triangles. |
A) Only (i)
B) Only (ii)
C) Both (i) and (ii)
D) None
Correct Answer: C
Solution :
(c): When two chords of a circle are intersect internally, then they are divided in a proportion. i.e., \[PX.PY=PZ.PT\] In \[\Delta PXZ\] and \[\Delta PTY\], \[\angle ZPX=\angle YPT\] (Vertically opposite angles) \[\angle PZX=\angle PYT\] (Angles in same segment) \[\angle PXZ=\angle PTY\] (Angles in same segment) \[\Delta PXZ=\Delta PTY\] Hence, the both statements are correct,You need to login to perform this action.
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