Hi everyone!
I'm having some troubles resolving one last point of my weekly sheet.The text says:
"Find the equations of the common tangents to the parabola y^2=15*x and the circle x^2+y^2=16."
I tried the approach of the discriminant and also one using the distance from a line but both didn't work for me. A previous exercise asked me to demonstrate that the line y=mx+(15/4m) is a tangent to the parabola for every value of m. A suggestion in the text says I can use this result also to find the common tangent.
I'm having some troubles resolving one last point of my weekly sheet.The text says:
"Find the equations of the common tangents to the parabola y^2=15*x and the circle x^2+y^2=16."
I tried the approach of the discriminant and also one using the distance from a line but both didn't work for me. A previous exercise asked me to demonstrate that the line y=mx+(15/4m) is a tangent to the parabola for every value of m. A suggestion in the text says I can use this result also to find the common tangent.