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CBSE Class 10 Answered

in figure PQ is a chord of length 16cm, of circle of radius 10cm.the tangemt at P and Q intersect at a point T.find the length of TP?
 
 
Asked by Jerin Shaji | 11 Feb, 2016, 04:44: PM
answered-by-expert Expert Answer
In space increment PMO PO squared space equals space PM squared plus MO squared MO squared space equals space PO squared space minus space PM squared equals 100 minus 64 space equals 36 MO equals 6 In space increment PTQ PT equals space QT angle TPQ space equals space angle TQP space left parenthesis Angles space opposite space to space equal space sides space are space equal right parenthesis angle TPQ space equals space angle TQP space equals 1 half open parentheses 180 degree minus angle PTQ close parentheses equals 90 degree minus 1 half angle PTQ space equals space 90 degree minus angle PTM...... left parenthesis 1 right parenthesis Now comma angle OPM space equals angle OPT space minus space angle TPM space angle OPM equals space 90 degree minus open parentheses 90 degree minus angle PTM close parentheses space space space space space space space left square bracket from space left parenthesis 1 right parenthesis right square bracket angle OPM space equals space angle PTM.......... left parenthesis 2 right parenthesis In space increment OPM space and space increment PTM angle OPM space equals space angle PTM angle PMO space equals space angle PMT increment OPM space tilde space increment PTM.... left parenthesis AA space test space of space similarity right parenthesis OP over PT equals OM over PM equals PM over TM.. left parenthesis CPCT right parenthesis OP over PT equals OM over PM 10 over PT equals 6 over 8 PT space equals 80 over 6 equals 13.33 cm
Answered by Vijaykumar Wani | 12 Feb, 2016, 11:20: AM

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