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The chord PR and QS intersect each other at E at 90°. X is the midpoint of QR. Then prove that EY is perpendicular to PS. Refer to the attachment

The chord PR and QS intersect each other at E at 90°. X is the midpoint of QR. Then prove that EY is perpendicular to PS.
Refer to the attachment

Question Image
Grade:10

1 Answers

Arun
25763 Points
one year ago
Given, Q is the mid-point of PR.
 
⇒ PQ = QR ... (1)
 
Again, R is the mid-point of QS.
 
⇒ QR = RS ... (2)
 
Now, PS = PQ + QR + RS
 
⇒ PS = 3 QR [using (1) and (2)]
 
⇒ QR = 1/3 PS
 
On putting value of QR in (1), we get
 
PQ = 1/3 PS
 

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