if x is the angle subtended at P(2,3) by the circle x^2+y^2+2x-3y+1=0 then tanx=?

Question

if x is the angle subtended at P(2,3) by the circle x^2+y^2+2x-3y+1=0 then  tanx=?

dumbcow · Answer

tangent would give slope at the given point
differentiate circle equation ... then tan(x) = dy/dx

dumbcow · Answer

wait, point (2,3) is not on circle ?

dls · Answer

It is on the circle

anonymous · Answer

would u give us a geometry of problem? :)

dls · Answer

The centre of the circle is (-1,3/2)
you can get the radius too..

anonymous · Answer

Lol...@DLS  just Substitute the points in the Given equation it doesnt Satisfies..:)

anonymous · Answer

P(2,3) is outside the circle

yrelhan4 · Answer

Find equation of tangent. 
Find the line passing through centre and 2,3. 
The angle between these two is what its asking, ig?

dls · Answer

he is right

anonymous · Answer

you cant even answer because the arc lenght can be whatever you want

shubhamsrg · Answer

hint:

|dw:1366285299795:dw|

anonymous · Answer

aaaah. i got it.
Well @shubhamsrg said it all

anonymous · Answer

Thxxx..For thr hint @shubhamsrg  i got it...

shubhamsrg · Answer

well glad to help ^^
thank you @DLS :)