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Solve Question 21  
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Asked by Ashutosh.kumar50025 | 16 Jan, 2019, 12:40: PM
answered-by-expert Expert Answer
ΔACP and ΔBCQ are similar triangles
 
Hence  begin mathsize 12px style fraction numerator B Q over denominator A P end fraction equals fraction numerator B C over denominator A C end fraction space space o r space space z over x space equals space fraction numerator b over denominator a plus b end fraction space............... left parenthesis 1 right parenthesis end style
 
ΔACR and ΔABQ are similar triangles
 
Hence  begin mathsize 12px style fraction numerator B Q over denominator C R end fraction equals fraction numerator A B over denominator A C end fraction space space o r space space z over y space equals space fraction numerator a over denominator a plus b end fraction space............... left parenthesis 2 right parenthesis end style
By adding eqn.(1) and eqn.(2),
 
begin mathsize 12px style z over x plus z over y space equals space z open parentheses 1 over x plus 1 over y close parentheses space equals space fraction numerator a plus b over denominator a plus b end fraction space equals 1 h e n c e space 1 over x space plus space 1 over y space equals space 1 over z space end style
Answered by Thiyagarajan K | 16 Jan, 2019, 01:53: PM

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