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

Question

anonymous · Answer

Im so confused can anyone explain this to me? PLEASE

anonymous · Answer

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

anonymous · Answer

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)

anonymous · Answer

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

anonymous · Answer

im lost

anonymous · Answer

$$\frac{ dy }{ dx }=-\frac{ 2x }{ 2y }=-\frac{ x }{ y }$$
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.