Posted by **nanuna** on Friday, January 4, 2013 at 3:09pm.

Find the equation of the tangent to circle x² + y² - 6x + 4y - 12 = 0 which is parallel to line 4x +3y +5

- maths -
**Steve**, Friday, January 4, 2013 at 3:37pm
you want a tangent with slope -4/3

the circle is

(x-3)^2 + (y+2)^2 = 25

2(x-3) + 2(y+2)y' = 0

y' = -(x-3)/(y+2)

when y' = -4/3, 3x = 4y+17

this occurs at (7,1) and (-1,-5)

The tangents are thus

4x+3y = 6±25

## Answer this Question

## Related Questions

- Math (Pre Cal) - Hi, I am studying for a precalculus quiz and I do not ...
- geomery - Triangle ABC, inscribed in a circle, has AB = 15 and BC = 25. A ...
- Geometry - Prove that the tangents to a circle at the endpoints of a diameter ...
- maths - 1) Circle centre (7,-2) passes through (-2,10). Calculate radius and ...
- maths - given the equation of the curve as y=8-2x^2 (a) find equations of ...
- maths - Given that the equation of the circle is x^2+y^2+2x-8y+5=0 (i)find the ...
- maths - Given that the equation of the circle is x^2 + y^2 +2x -8y+5 =0 (i)Find ...
- Alg2 - The tangent to a circle may be defined as the line that intersects the ...
- Calculus - Maths - I got a few questions. Hope ya'll can help out. 1) for F(X...
- calc - standard equation of circle concentric with X^2+Y^2-2X-8Y+1=0 and tangent...

More Related Questions