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Question Number 42112 by Raj Singh last updated on 18/Aug/18

Commented by Raj Singh last updated on 18/Aug/18

$i f O F a n d O E i s b i s e c t o r o f < B O C$ $a n d < A O C a n d O E p e r p e n d i c a l r$ $t o O F t h e n p r o v e t h a t A O B i s l i n e a r$
	Answered by tanmay.chaudhury50@gmail.com last updated on 18/Aug/18

	$o F b i s e c t o r o f ∠ B O C$ $∠ B O F = ∠ F O C = x$ $∠ B O C = 2 x$ $∠ A O E = ∠ E O C = y$ $∠ A O C = 2 y$ $G i v e n E O ⊥ O F s o$ $∠ E O C + ∠ C O F = y + x = 90^{o}$ $n o w ∠ A O C + ∠ B O C = 2 x + 2 y = 2 (x + y) = 180^{o}$ $h e n c e A, O a n d B l i e s o n a l i n e$
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