Question-152740

Question Number 152740 by mr W last updated on 31/Aug/21

Commented by mr W last updated on 31/Aug/21

[Q 152712]

Answered by mr W last updated on 31/Aug/21

Commented by mr W last updated on 31/Aug/21

A F = C L

E O = \frac{C L}{2}

L M = \frac{2}{3} \times E O = \frac{C L}{3}

C M = \frac{2}{3} \times C L

\Rightarrow \frac{C L}{C M} = \frac{3}{2}

G F = \frac{C N}{2}

M N = \frac{A G}{3} \Rightarrow A G = 3 \times M N

A G + G F = A F = C L

3 \times M N + \frac{C N}{2} = C L \dots (i)

M N + C N = \frac{2}{3} \times C L \dots (i i)

3 \times (i i) - (i) :

\frac{5}{2} \times C N = C L

\Rightarrow \frac{C L}{C N} = \frac{5}{2}

\frac{C L}{C L} + \frac{C L}{C M} = 1 + \frac{3}{2} = \frac{5}{2} = \frac{C L}{C N}

\Rightarrow \frac{1}{C L} + \frac{1}{C M} = \frac{1}{C N}

Commented by Tawa11 last updated on 31/Aug/21

God bless you sir . I appreciate sir .

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