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-PAB-is-minimum-then-find-value-of-h-

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.