x^2 + 2x + 4y^2 - 16y + 13v = 0 represents an ellipse
the line y=mx meets the ellipse
show that 3m^2 - 4m - 3 => 0.
What value(s) of m make the line a tangent to the ellipse?
1. I assume that you mean:
2. Calculate the points of intersection between the line and the ellipse substituting y = mx:
and solve for x. (Use the formula to solve a quadratice equation)
3. You only get one point of intersection = tangent point if the radicand equals zero.
4. To calculate the values of m, solve for m:
(Use the formula to solve a quadratice equation)