Question

Write the equation for the line tangent to the circle x2 + y2 = 29 at the point (2, 5).

Answer 1

Im so confused can anyone explain this to me? PLEASE

Answer 2

eq. of tangent is xx1+yy1=a^2
2x+5y=29

Answer 3

do you know this formula ?
or you have to use dy/dx at (2,5)
this is slope of tangent at (2,5)
then eq. of tangent is y-y1=(dy/dx)(x-x1)

Answer 4

\[2x+2y \frac{ dy }{ dx }=0\]

Answer 5

im lost

Answer 6

\[\frac{ dy }{ dx }=-\frac{ 2x }{ 2y }=-\frac{ x }{ y }\]
at (2,5)\[\frac{ dy }{dx }=-\frac{ 2 }{ 5 }\]
slope of tangent=-2/5
\[eq.~ of~ tangent~ is~ y-y1=m(x-x1)\]
\[y-5=-\frac{ 2 }{ 5 }\left( x-2 \right)\]
solve it.
which will be same as listed above.