(i) If the tangent at any point `p(4m^(2), 8m^(3))` of `x^(3) - y^(2)=0` is a normal to the curve `x^(3) - y^(2) = 0`, then find the value of `9m^(2)`.

If the tangent at any point (4m^(2),8m^(2)) of x^(3)-y^(2)=0 is a normal to the curve x^(3)-y^(2)=0, then find the value of m.

If the tangent at any point P(4m^(2), 8m^(3)) " of " y^(2) = x^(3) is a normal also to the curve , then the value of 27m^(2) is ...........

At what point on the curve x^(3) - 8a^(2) y= 0 the slope of the normal is -2//3 ?

If y = 2x + m is a diameter to the circle x^(2) + y^(2) + 3x + 4y - 1 = 0 , then find m

If a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with slope m is a normal to the circle x^(2)+y^(2)+4x+1=0, then the maximum value of ab is (A)2m(B)4m(C)m(D)6m

The equation of normal to the curve x^(2)+y^(2)-3x-y+2=0 at P(1,1) is

If the tangent to the curve x^(3)-y^(2) = 0 at (m^(2), -m^(2)) is parallel to y= -(1)/(m) x-2m^(3) , then the value of m^(3) is

Find the equation of the normal to the curve a y^2=x^3 at the point (a m^2,\ a m^3) .