find the radius of curvature of curve `x^2+y^2=25` at point (4,3)​

The radius of curvature of the curve y^2=4x at the point (1, 2) is

Find the equation of circles with radius 12 and touching the circle x^(2)+y^(2)=25 at the point (3,4)

If the equation of the tangent to the curve y^(2)=ax^(3)+b at point (2,3) is y=4x-5 then find the values of a and b

Find the points on the curve (x^2)/4+(y^2)/(25)=1 at which the tangents are parallel to the x-axis and y-axis.

Equations to the tangent and normal to curve y=x^3+2x^2-4x-43 at the point (-2,5) are respectively

Find the slope of the tangent to the curve y=3x^(2)-4x at the point, whose x - co - ordinate is 2.

Find the equation of the curve passing through the point (-2,3) given that the slope of the tangent to the curve at any point (x,y) is (2x)/(y^(2))

Find the area bounded by the tangent to the curve 4y=x^(2) at the point (2,1) and the lines whose equation are x=2y and x=3y-3