For what values of `a` will the curves `x^2/a^2+y^2/4= 1` and `y^3 = 16x` intersect at right angles?

If the curves (x ^(2))/(a ^(2))+ (y^(2))/(4)= 1 and y ^(3)= 16x intersect at right angles, then:

If the curves (x ^(2))/(a ^(2))+ (y^(2))/(4)= 1 and y ^(2)= 16x intersect at right angles, then:

If the curves (x ^(2))/(a ^(2))+ (y^(2))/(4)= 1 and y ^(2)= 16x intersect at right angles, then:

If the curves x^(2)/a^(2)+ y^(2)/4 = 1 and y^(3) = 16x intersect at right angles, then a^(2) is equal to

Find the value of a if the curves ay+x^(2)=7 and x^(3)=y intersect at right angle at Point (1,1)

If the curves (x^(2))/(a^(2)) + (y^(2))/(12) = 1 and y^(3) = 8x intersect at right angles, then the value of a^(2) is equal to

Show that curves x^(3)-3xy^(2)+2=0 and y^(3)-3x^(2)y+2=0 intersect at right angles.

If the curves (x^(2))/(a^(2))+(y^(2))/(4)=1 and y^(3)=16x intersect at right angles, show that a^(2)=(4)/(3) .