Question Number 57289 by rahul 19 last updated on 01/Apr/19
$${Tangents}\:{are}\:{drawn}\:{to}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{16}\:{from} \\ $$$${the}\:{point}\:{P}\left(\mathrm{0},{h}\right).{These}\:{tangents}\:{meet} \\ $$$${the}\:{x}−{axis}\:{at}\:{A}\:{and}\:{B}.\:{If}\:{area}\:{of}\:\Delta{PAB} \\ $$$${is}\:{minimum}\:{then}\:{find}\:{value}\:{of}\:{h}\:? \\ $$
Commented by mr W last updated on 01/Apr/19
$$\Delta{PAB}=\mathrm{2}×\Delta{POA} \\ $$$$\Delta{POA}\:{is}\:{minimum}\:{if}\:{OP}={OA} \\ $$$${i}.{e}.\:{h}=\mathrm{4}\sqrt{\mathrm{2}} \\ $$
Commented by mr W last updated on 01/Apr/19
Commented by rahul 19 last updated on 02/Apr/19
thank you sir.