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Question

AB is a diameter of the circle APBR as shown in the figure. APQ and RBQ are straight lines. Select the statements that are true.


A

PRB=35

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B

BPQ=90

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C

BPR=30

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D

PBR=115o

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Solution

The correct options are
A

PRB=35


B

BPQ=90


C

BPR=30


D

PBR=115o


PRB= BAP (Angles in the same segment)

PRB=35

In Δ ABP, APB=90 (Angle in semi circle)

BPQ=90

In Δ PQR

R+ Q+ RPQ=180

35+25+ RPQ=180

RPQ=18060=120

BPR= RPQ BPQ

=12090=30

In Δ PBR,

PBR=180( R+ BPR)

=180(35+30)=18065

=115


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