AB and CD are two chords of a circle intersecting at P. Choose the correct statement from the following:

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Solution

Q.
AB and CD are two chords of a circle intersecting at P. Choose the correct statement from the following:

1 $∆ A D P ~ ∆ C B A$

2 $∆ A D P ~ ∆ B P C$

3 $∆ A D P ~ ∆ B C P$

4 $∆ A D P ~ ∆ C B P$

Ans.
(4)

$∠ A P D = ∠ C P B$ [vertically opposite angle]

$∠ A D P = ∠ C B P$ [Angle subtends on the same segment]

$∆ A D P ~ ∆ C B P$ (by AA similarity)

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