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Grade 1010 grade maths

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.
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Question image for The chord PR and QS intersect each other at E at
Profile image of TheMiralce123
6 Years agoGrade 10
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1 Answer

Profile image of Arun
6 Years 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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