Given below are two statements
Statement I =If two chords XY and ZT of a circle intersects internally at point P,then PX-PYPZ-PT
Statement II =If two chords XY and ZT of a circle intersect internally at point P,then PXZ and PTY are similar triangles
In the light of the above statements, choose the correct answer from the options given below
Statement I =If two chords XY and ZT of a circle intersects internally at point P,then PX-PYPZ-PT
Statement II =If two chords XY and ZT of a circle intersect internally at point P,then PXZ and PTY are similar triangles
In the light of the above statements, choose the correct answer from the options given below
- Both Statement I and Statement II are true
- Both Statement i and Statement II are false
- Statement I is true but Statement II is false
- Statement I is false but Statement II is true
The Correct Option is A
Solution and Explanation
Both statements are true. Statement I is a consequence of the intersecting chords theorem, and Statement II correctly describes the similarity of triangles formed by intersecting chords in a circle.
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