Question

Question ⤵️

Find the shortest distance from ( 0 , 3 ) to the parabola y² = 4 x.

himmat hai to shi shi answer do​​

Answer 1

$the \: shortest \: distance \: from</p><h2> \: (0 \: and \: 3) \: to \: parabola \: {4}^{2} = 4x \: is \\ s = \: distance \: = \sqrt{( {x - 0)}^{2} + ( {y - 3}^{2} } \\ {s}^{2} = {x}^{2} + ( {y - 3)}^{2} \\ {y}^{2} = 4x \\ p = {s}^{2} = \frac{ {y}^{4} }{16} + ( {y - 3)}^{2} \\ \frac{dp}{dt} = \frac{ {y}^{3} }{4} + 2(y - 3) = 0 \\ {y}^{3} + 8y - 24 = 0 \\ y = 2 \\ x = 1 \\ s = \sqrt{ {1}^{2} + ( {2 - 3)}^{2} } = \sqrt{2}$

Answer 2

Answer:

please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please inbox me plzz