Home
Class 12
MATHS
If x^2+y^2=R^2(w h e r eR >0)a n dk=(y^'...

If `x^2+y^2=R^2(w h e r eR >0)a n dk=(y^'')/((1+y'^2)^3)` then find `k` in terms of `R` alone.

A

`(1)/(R)`

B

`-(1)/(R)`

C

R

D

`(1)/(2R)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise EXAMPLE|3 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|8 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If y = cos^-1x Find (d^2y/dx^2) in terms of y alone.

If y = tan^-1 x , find (d^2y)/(dx^2) in terms of y alone.

Find the second order derivative of the following functions If y = cos^(-1) x , find (d^2y)/(dx^2) in terms of y alone.

Find the continuous function f where (x^4-4x^2)lt=f(x)lt=(2x^2-x^3) such that the area bounded by y=f(x),y=x^4-4x^2dot then y-axis, and the line x=t , where (0lt=tlt=2) is k times the area bounded by y=f(x),y=2x^2-x^3 ,y-axis , and line x=t(w h e r e0lt=tlt=2)dot

Find dy/dx if x^2+y^2=r^2

If R= {(x,y):x, y in Z, x^2+y^2le9} is a realation on Z, then domain of R is:

Let (f(x+y)-f(x))/(2)=(f(y)-1)/(2)+xy , for all x,y in R,f(x) is differentiable and f'(0)=1. Let g(x) be a derivable function at x=0 and follows the function rule g((x+y)/(k))=(g(x)+g(y))/(k), k in R,k ne 0,2 and g'(0)=lambda If the graphs of y=f(x) and y=g(x) intersect in coincident points then lambda can take values

In a plane there two families of lines : y=x+r, y=-x+r, where r in {0, 1, 2, 3, 4}. The number of the squares of the diagonal of length 2 formed by these lines is____.

If x,y in R and satisfy the equation xy(x^(2)-y^(2))=x^(2)+y^(2) where xne0 then the minimum possible value of x^(2)+y^(2) is

if (1-x^3)^n=sum_(r=0)^n a_rx^r (1-x)^(3n-2r), where n epsilonN then find a_r .