Question

The equation of the tangent to the parabola y2 = 9x which goes through the point(4,10)

Answer 1

Answer:

$9x - 20y + 164 = 0.$

Step-by-step explanation:

$\frac{dy}{dx} = \frac{9}{2y} = \frac{9}{2 \times 10} = \frac{9}{20} \\ \\ equation \: of \: tangent \: \: \: \: (y - 10) = \frac{9}{20} (x - 4) \\ \\ 9(x - 4) = 20(y - 10) \\ \\ 9x - 20y = 36 - 200 \\ \\ 9x - 20y + 164 = 0.$