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

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Question

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

Options

  • ΔADP ~ ΔCBA

  • ΔADP ~ ΔBPC

  • ΔADP ~ ΔBCP

  • ΔADP ~ ΔCBP

MCQ

Solution

ΔADP ~ ΔCBP

Explanation:

∠APD = ∠CPB     ...[vertically opposite angle]

∠ADP = ∠CBP     ... [Angle subtends on the same segment]

∴ AA similarity

ΔADP ~ ΔCBP

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