Question

The condition that the line x/p + y/q = 1 be a normal to the parabola y2=4ax is

Answer 1

Answer:

Normal in slope form

Thus y = mx –2am – am3 is a normal to the parabola y2 = 4ax where m is the slope of the normal. The coordinates of the foot of normal are (am2, –2am).

How to Find a Normal Line to a Curve

Take a general point, (x, y), on the parabola. and substitute. for y.

Take the derivative of the parabola.

Using the slope formula, set the slope of each normal line from (3, 15) to. equal to the opposite reciprocal of the derivative at. ...

Plug each of the x-coordinates (–8, –4, and 12) into. to obtain the y-coordinates