Prove that semicircular angle is 90°.(Solve this numerical using vector algebra.)
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AP = p - a
BP = p - b
AP.BP
= (p-a).(p-b)
= |p|^2 - a.p -p.b + a.b
= r^2 - p.(a+b) + |a||b|cos 180
= r^2 - p.0 + r^2*-1
= 0
Hence, AP.BP = 0 => AP perpendicular to BP.
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aka01:
well that's good
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Sorry...... But I am much disciplined than I look.... I study in nights... But thanks for that.... I know even a second is important in IIT...... So OK.....
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