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

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

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If x^(2)+y^(2)=R^(2)( where R>0) and k=(y')/((1+y^(2))^(3)) then find k in terms of R alone.

If R={(x,y): x,y in W, x ^(2)+y^(2)=25} , then find the domain and range or R.

If A={(x,y):y=e^(x),x in R} and B={(x,y):y=e^(-2x),x in R}, then

Let R be a relation on N defined by R={(x,y):2x+y=10}, then domain of R is

The value of |[yz, z x,x y],[ p,2p,3r],[1, 1, 1]|,w h e r ex ,y ,z are respectively, pth, (2q) th, and (3r) th terms of an H.P. is a.-1 b. 0 c. 1 d. none of these

If x+y=1, prove that sum_(r=0)^(n)nC_(r)x^(r)y^(n-r)

Let R be a relation on N defined by R={(x,y):x+2y=8). Then domain of R is

If x , y >0,(log)_y x+(log)_x y=(10)/3 a n d x y=144 , t h e n(x+y)/2=sqrt("N")" w h e r e N" is a natural number, find the value of Ndot

If x+y=1, then sum_(r-0)^(n)rnC_(r)x^(r)y^(n-r) equals

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. The derivative of the function, f(x)=cos^(-1){(1)/(sqrt13)(2cosx-3sin...

    Text Solution

    |

  2. Left hand derivative of sin^(- 1)((2x)/(1+x^2)) with respect to cos^-...

    Text Solution

    |

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

    Text Solution

    |

  4. If y=1/(1+x^(n-m)+x^(p-m))+1/(1+x^(m-n)+x^(p-n))+1/(1+x^(m-p)+x^(n-p))...

    Text Solution

    |

  5. A curve is represented parametrically by the equations x = e^t cos t a...

    Text Solution

    |

  6. If F(t)=int(x+y)dt then the value of F(pi/2)-F(0) is 1 (b) -1 (...

    Text Solution

    |

  7. If 2^x+2^y=2^(x+y) then (dy)/(dx)

    Text Solution

    |

  8. Two functions f & g have first & second derivatives at x=0 & satisfy t...

    Text Solution

    |

  9. Let P(x) be the polynomial x^3+a x^2+b x+c , where a ,\ b ,\ c in R ....

    Text Solution

    |

  10. If sqrt(y+x)+sqrt(y-x)=c (where c!=0 ), then dy/dx

    Text Solution

    |

  11. For the function y=f(x)=(x^2+b x+c)e^x , which of the following holds?...

    Text Solution

    |

  12. Let f'(x)=3x^2sin1/x-xcos1/x , if x!=0\ ; f(0)=0 and f(1//pi)=0 then: ...

    Text Solution

    |

  13. If f(x)=xdot|x|, then its derivative is : (a)2x (b) -2x (c) 2|x|...

    Text Solution

    |

  14. Find derivative of u(x) u( x )= [ ln( 1+ sin2x ), if x>0 ...

    Text Solution

    |

  15. find v( x )= Lim t→0 2x/ π tan −1 ( 2 /t )

    Text Solution

    |

  16. ("Lim")(n->oo)((1+tanpi/(2n))/(1+sinpi/(3n)))^n equal

    Text Solution

    |

  17. ("Lim")(x->0^+)1/((1+"c o s e c"x)^(1/(ln(sinx)))) equals

    Text Solution

    |

  18. ("Lim")(x->0)(2/picos^(-1)x)^(1//x) equals

    Text Solution

    |

  19. Evaluate: intsqrt((1-sin2x)/(1+sin2x))dx

    Text Solution

    |

  20. Find the differentiation of ((cot^2x-1)/(cot^2x+1)) w.r.t. \ x

    Text Solution

    |