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Question

In the adjoining figure given below STQR, then what is the value of y?


A

5

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B

9

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C

12

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D

15

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Solution

The correct option is B

9


Since, STQRPSSQ=PTTR

(by mid-point theorem)

PSSQ+1=PTTR+1

PS+SQSQ=PT+TRTR or PQSQ=PRTR

2yy3=2y+3y2

2y24y=2y26y+3y9

4y=3y9

y=9


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