If the following tow curves intersect at right angles , then the value of a is ? The curves are :

Question

anonymous · Answer

$$x^2/a+y^2/4=1 ; y^3=16x$$

anonymous · Answer

After getting the slopes of both the curves as 
1. dy/dx=-4x/a
2.dy/dx=16/3y^2
Putting their product as -1.
I am not able to simplify and get a.

anonymous · Answer

if the both curves are intersecting then find their point of intersection...that would be your x and y

anonymous · Answer

there are 3 variables :x,y and a.
getting the poi in terms of a ?
how ?

anonymous · Answer

and there are 3 equations... multiplication of slopes, the first curve and the second curve

anonymous · Answer

agreed.
But am not able to simplify them and get a.

anonymous · Answer

the slope of first curve is wrong :P
its -4x/ya

anonymous · Answer

now give it a shot..

anonymous · Answer

lol..
yes , it just seems so long :'(
thanks ! :)

anonymous · Answer

welcome :)