23-05-2016
Mathematics

contestada

The line y=mx is tangent to the curve y^2 = X-C. Show that c = 1/ (4m^2)

Respuesta :

23-05-2016

Hello,
Let (a,b) the intersection of the tangent and the curve.
That point must be double.

So
b=m*a
b²=a-c
==>(ma)²-a+c=0
==>m²a²-a+c=0 roots must be equal
Δ=(-1)²-4*m²c=0 => 4m²c=1==>c=1/(4m²)

Answer Link

Otras preguntas

One reason crusaders fought was to

A pair of shoes that now sells for $63 has been marked up 40%. Find the mark up on the pair of shoes.

Explain why a solution can have many solutes, but only one solvent.

What led Adolfo hittler to order German submarines to attack American ships?

Substitution methode: 5x-3y=-11 x-2y=2

Distinguish between the terms "insoluble" and "unsaturated." Give an example to illustrate each term.

plz answer as fast as you can solid sodium iodide does not conduct electricity why does sodium iodide solution conduct electricity 2) when sodium iodide is el

If a jar of honey sits for a long time, sugar may crystallize in the jar. Describe two possible causes for the crystallization.

What is integrate suffix?

is 6 a factor of 72 and explain