-2D + 3E + F = -13x² + y² + Dx + Ey + F = 0(2)² + (-1)² + D(2) + E(-1) + F = 03. 2D - E + F = -5The best way to solve these simultaneously is to spot some linear combinations that work--and this is something that takes phenomenal genius to accomplish.So instead I will just make a matrix:1. D + 5E + F = -262. -2D + 3E + F = -133. 2D - E + F = -5|.......
=> 3 * (-9/5) + 2E' = - 13
=> 2E' = 27/5 - 13 = - 38/5 => E' = - 19/5
Plugging, D' = - 9/5 and E' = - 19/5 in ( 1 ),
- 9/5 + 5 * (-19/5) + F' = - 26
=> F' = - 26 + 9/5 + 19 = - 26/5.
keywords: of,line,what,is,value,For,tangent,circle,to,the,For what value(s) of k is the line x+2y+k=0 tangent to the circle x^2+y^2-2x+4y+1=0
