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Q.

The ΔPQR is inscribed in the circlex2+y2=25 . If Q andR  have coordinates (3,4) and(4,3)  respectively, then QPR is equal to

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a

π2

b

π3

c

π4

d

π6

answer is C.

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Detailed Solution

Ans:3

Letm1=slope

ofOQ=43andm2=slope

ofOR=34.As m1m2=1,R(4,3)

QOR=π2

Thus,QOR=π4

(anglesubtendedatthecentreofacircleisdoubledtheanglesubtendedinthealternatesegment)

 

 

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