Question

An equilateral triangle is inscribed in the parabola y^2=4ax, where one vertex is at the vertex of parabola.find the length of the side of the triangle​

Answer 1

Answer:

ANSWER

R.E.F image 

let the two vertices

of the triangle be Q+R

In ΔPRT

tan30∘=KRT

⇒31=KRT

RT=3K

Now R Lies on parabola y2=4ax

⇒R(K,3K)

⇒(3K)2=4QK

⇒3K=4Q

⇒K=12Q

length of side of the triangle =2(RT)

=2.3K=2.3(12Q)=83Q 

Answer 2

Hope it help you ...........