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CBSE Class 10 Answered

Give the justification (ie   geometrical proof ) of the following construction.
 
Asked by bosesreyan | 09 Mar, 2016, 10:05: PM
answered-by-expert Expert Answer
begin mathsize 12px style Join space CD space and space BD. space angle CDB space is space straight a space right space angle space left parenthesis angle space in space straight a space semicircle space is space 90 degree right parenthesis DP space is space the space perpendicular space drawn space to space BC. Hence comma space DP squared equals PC cross times PB space left parenthesis property space of space right space triangle right parenthesis PD equals PQ Hence comma space PQ squared equals PC cross times PB Also comma space PC equals PA Hence comma space PQ squared equals PA cross times PB The space above space is space the space property space of space straight a space tangent minus secant space pair space of space straight a space circle comma where space PQ space is space straight a space tangent space and space PB space is space straight a space secant. end style
Answered by satyajit samal | 10 Mar, 2016, 03:50: PM

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CBSE 10 - Maths
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