If `(x-a)^2+(y-b)^2=c^2,` for some `c >0,` `p rov e t h a t([1+((dy)/(dx))^2]^(3/2))/((d^2y)/(dx^2))` is a constant independent of` a and b.`

If (x-a)^(2)+(y-b)^(2)=c^(2) for some for some prove that prove that ([1+((dy)/(dx))^(2)]^((3)/(2)))/((d^(2)y)/(dx^(2))) is a constant independent of a and b.

If (x-a)^2+(y-b)^2=c^2\ \ (c >0) then ([1+((dy)/(dx))^2]^(3//2))/((d^2y)/(dx^2)) equals c (b) c^2 (c) c^3 (d) c^4

If y=a+(b)/(x) ; prove that x(d^(2)y)/(dx^(2))+2(dy)/(dx)=0

If x=cos t,y=log_(e)t then at t=(pi)/(2),(d^(2)y)/(dx^(2))+((dy)/(dx))^(2)=

If y=e^(x)sinx, prove that (D^(2)y)/(dx^(2))-2(dy)/(dx)+2y=0 .

If x=sin t and y=sin pt, prove that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+p^(2)y=0

if (x-a)^(2)+(y-b)^(2)=c^(2) then (1+((dy)/(dx))^(2))/((d^(2)y)/(dx^(2)))=?

If x=sin t,y=sin2t, prove that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+4y=0

if x=2+t^(3),y=3t^(2)" ,then the value of n for which "(((d^(2)y)/(dx^(2))))/((dy)/(dx))^(n) is constant is