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Question

What is the relation between AM and MB in the given figure?


A

1:1

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B

1:2

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C

1:3

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D

1:4

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Solution

The correct option is A

1:1


In the given figure, consider ΔOAM and ΔOBM.

OA = OB [Radii of the same circle]

OM = OM [Common Side]

OMA = OMB = 90 [OMAB]

ΔOAM ΔOBM by RHS similarity criterion.

AM = MB (By C.P.C.T)


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