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 `mdot`

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

If equation of normal at a point (m^2-m^3) on the curve x^3-y^2=0 is y=3mx -4m^3 then m^2 equals

A curve passes through the point "(2,0)" and the slope of tangent at any point (x,y) on the curve is x^(2)-2x for all values of x ,then the maximum value of y is equal to _____________

Find the equation of the normal to the curve x^2+2y^2-4x-6y+8=0 at the point whose abscissa is 2.

If the tangent to a curve y = x^(3) -x at x =2 is parallel to the line y = mx -19 then the value of m is

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 tangent to the curve x^2+y^2-2x-3=0 is parallel to X-axis at the points