Question

Geometry question

Answer 1

nice drawing. what is the question?

Answer 2

\(\large \color{black}{\begin{align} &\normalsize \text{two circles touch internally at point P and a chord }\hspace{.33em}\\~\\
&\normalsize \text{AB of the circle of larger radius intersects the other circle }\hspace{.33em}\\~\\
&\normalsize \text{in C and D. }\hspace{.33em}\\~\\
&\normalsize \text{Which of the following is true.?}\hspace{.33em}\\~\\
&\normalsize \text{a.) } \angle CPA =\angle DPB \hspace{.33em}\\~\\
&\normalsize \text{b.) }2 \angle CPA =\angle CPD \hspace{.33em}\\~\\
&\normalsize \text{c.) } \angle APX =\angle ADP \hspace{.33em}\\~\\
&\normalsize \text{d.) } \angle BPY =\angle CPD+\angle CPA \hspace{.33em}\\~\\
\end{align}}\)

Answer 3

Question: is there any information about PB? I meant: is it diameter of the big circle?

Answer 4

No ,

Answer 5

If we don't have any specific condition, how to solve? you gave me PX = PY, but what is the relationship between the points. Like if you strengthen AB, it cut the tangent line at X, then X has some relationship to the problem

Answer 6

The tangent line to the circles at point P \(\perp\) the radii of the circles. That is why my pic has center O and O'

Answer 7

If X is here, we have something to play. If it is not, I don't see how to solve it yet.