Tangents are drawn to x^2 +y^2 =16 from the point P(0,h).These tangents meet the x−axis at A and B. If area of ΔPAB is minimum then find value of h ?


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Question Number 57289 by rahul 19 last updated on 01/Apr/19

$T a n g e n t s a r e d r a w n t o x^{2} + y^{2} = 16 f r o m$ $t h e p o i n t P (0, h) . T h e s e t a n g e n t s m e e t$ $t h e x - a x i s a t A a n d B . I f a r e a o f Δ P A B$ $i s m i n i m u m t h e n f i n d v a l u e o f h ?$
Commented by mr W last updated on 01/Apr/19

$Δ P A B = 2 \times Δ P O A$ $Δ P O A i s m i n i m u m i f O P = O A$ $i . e . h = 4 \sqrt{2}$
Commented by mr W last updated on 01/Apr/19

Commented by rahul 19 last updated on 02/Apr/19
thank you sir.
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