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Question

# Select the correct option for the given figure and statements. Statement 1: ΔPBO≅ΔNMO Statement 2: ΔPBO≅ΔPQO

A
Both statement 1 and statement 2 are true.
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B
Statement 1 is true, while statement 2 is false.
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C
Statement 1 is false, while statement 2 is true.
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D
Both statement 1 and statement 2 are false.
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Solution

## The correct option is C Statement 1 is false, while statement 2 is true.InΔ PBO and Δ PQO, PB = PQ (Tangents to a circle from an external point are equal in length.) OP = PO (Common side) OB = OQ (Radii of the same circle) Thus, by SSS congruence, ΔPBO≅ΔPQO. But,ΔPBO≅ΔNMO. (Since OP ≠ ON) Hence, statement 1 is false, while statement 2 is true.

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