Problems in tangents and normals
Please help me find the solutions in the problems below. I will really appreciate any help. Here it goes...
In the first problem, find the equation of the line to the ff. conics at the given point.
1.) 3x^2 - 3xy + 4x + y - 3 = 0
given point: (-1,1)
Answer: 5x - 4y + 9 = 0
Next problem, find the equations of the lines which are tangent to the to the ff. conics and pass through the given point.
1.) x^2 + 2xy + y^2 + 2x + 6y + 1 = 0
given point: (4,-2)
Answer: x + 2y = 0, 2x + 3y = 2
Hope someone can help me in here. Thanks in advance! :)