The condition that the chord xcos a + ysin a - p = 0 of x2 + y2 = a2 - Maths - Three Dimensional Geometry

Question

The condition that the chord xcos a + ysin a - p = 0 of
x2 + y2 = a2 may subtend a right
angle at the centre of the circle is

Piyush · Answer

Best Answer 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

The condition that the chord xcos a + ysin a - p = 0 of x2 + y2 = a2 may subtend a right angle at the centre of the circle is

The condition that the chord xcos a + ysin a - p = 0 of x² + y² = a² may subtend a right angle at the centre of the circle is