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The condition that the chord xcoeA+ysinA=p of x2 +ye= a2 may substand a right angle at the center of the circle

The condition that the chord xcoeA+ysinA=p of  x2 +ye= a2 may substand a right angle at the center of the circle
 

Grade:12th pass

1 Answers

Arun
25763 Points
2 years ago
xcosα + ysinα = p  

The perp ON from O to line has length |0+0−p|/√(cos²α+sin²α) = |p|  

If chord of intersection AB subtends 90° at centre then ∠NOB=45° 

From ΔNOB, cos(45°) = |p|/a → a=|p|√2 or a²=2p²

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