perl
  • perl
If the tangent the to the curve x√+y√=a√ at any point on cuts x-axis and y-axis at two distinct points. Can you find the sum of the intercepts ? Good luck!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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perl
  • perl
I dont want the answer, i need an explanation. SO far I got |dw:1333448885455:dw|
perl
  • perl
ok plug in for x intercept , y = 0 , for y intercept x = 0
perl
  • perl
so x intercept x= sqrt ( xo*yo) ?

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More answers

anonymous
  • anonymous
www.phengkimving.com/.../02_01_tan_lines_and_their_slopes.htm follow this
perl
  • perl
that is a dead link
perl
  • perl
thx for helping man
perl
  • perl
|dw:1333453725395:dw|
anonymous
  • anonymous
\[y\sqrt x_0 - \sqrt x_0 y_0 = -\sqrt y_0x + y_0\sqrt x_0 \] \[\implies \Large\frac{y}{\frac{\sqrt{x_0}y_0 + x_0\sqrt{y_0}}{\sqrt{x_0}}} + \frac{x}{\frac{\sqrt{x_0}y_0 + x_0\sqrt{y_0}}{\sqrt{y_0}}} = 1\]Sum of the Intercepts, \[\frac{\sqrt{x_0}y_0 + x_0\sqrt{y_0}}{\sqrt{x_0}}+\frac{\sqrt{x_0}y_0 + x_0\sqrt{y_0}}{\sqrt{y_0}} =y_0 + x_0 + 2\sqrt{x_0y_0} = (\sqrt{y_0} + \sqrt x_0)^2\] From the curve's equation \(\sqrt{y_0} + \sqrt x_0 = \sqrt a\). \[\implies (\sqrt a)^2 =a\]
perl
  • perl
give me a sec to digest this
perl
  • perl
i think i see a mistake
anonymous
  • anonymous
Hmm what is it?
perl
  • perl
the first line
perl
  • perl
|dw:1333454621099:dw|
anonymous
  • anonymous
Yes, you got me there.
perl
  • perl
can you fix that?
anonymous
  • anonymous
\[y\sqrt x_0 - \sqrt x_0 y_0 = -\sqrt y_0 x + \sqrt y_0 x_0\]
perl
  • perl
thx
perl
  • perl
wow, i wouldnt have thought of all that
anonymous
  • anonymous
You probably would have if you were preparing for JEE, such problems are really common.
perl
  • perl
so it turns out that the sum of the intercepts can be written as sqrt ( x ) + sqrt y ) =
anonymous
  • anonymous
??
perl
  • perl
|dw:1333455250564:dw|
perl
  • perl
that is an example of a tangent curve, through xo,yo
perl
  • perl
i just want to make sure i understand the question, we want to find where the tangent line intercepts the y axis and the x axis

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