Home
Class 12
MATHS
If y is a function of x and log(x+y)-2x ...

If `y` is a function of `x` and `log(x+y)-2x y=0,` then the value of `y^(prime)(0)` is
(a)1 (b) `-1` (c) 2 (d) 0

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If y is a function of x given by 2log (y-1)-log x-log (y-2)=0 , then

If log(x+y)=2xy, then y'(0) is

If x y z=0, then find the value of (a^x)^(y z)+(a^y)^(z x)+(a^z)^(x y)= (a)3 (b) 2 (c)1 (d) 0

For relation 2 log y - log x - log ( y-1) =0

If (x_(0), y_(0), z_(0)) is any solution of the system of equations 2x-y-z=1, -x-y+2z=1 and x-2y+z=2 , then the value of (x_(0)^(2)-y_(0)^(2)+1)/(z_(0)) (where, z_(0) ne 0 ) is

Let x ,\ y be two variables and x >0,\ \ x y=1 , then minimum value of x+y is (a) 1 (b) 2 (c) 2 1/2 (d) 3 1/3

The equation to the normal to the curve y=sinx at (0,\ 0) is (a) x=0 (b) y=0 (c) x+y=0 (d) x-y=0

If (a x^2+c)y+(a^(prime)x^2+c^(prime) )=0 and x is a rational function of y and ac is negative, then a. a c^(prime)+c^(prime)c=0 b. a//a '=c//c ' c. a^2+c^2=a^('2)+c^('2) d. a a^(prime)+c c^(prime)=1

The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, and 3x+2y-2=0 are concurrent is (a).0 (b) 1 (c) 2 (d) infinite

Solve each of the following initial value problem: y^(prime)+y=e^x ,\ y(0)=1/2

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim(x->0)((f...

    Text Solution

    |

  2. The number of ways in which four different letters can be put in their...

    Text Solution

    |

  3. If y is a function of x and log(x+y)-2x y=0, then the value of y^(prim...

    Text Solution

    |

  4. In triangle A B C ,a , b , c are the lengths of its sides and A , B ,C...

    Text Solution

    |

  5. The equation of a parabola is (x + y - 2)^2 = sqrt2 (x - y) then (a) ...

    Text Solution

    |

  6. If a ,b ,c are the sides of a triangle such that a : b : c=1:sqrt(...

    Text Solution

    |

  7. If S is a set of P(x) is polynomial of degree le2 such that P(0)=0,P(1...

    Text Solution

    |

  8. Given that the 4th term in the expansion of [2+(3x//8)]^(10) has the m...

    Text Solution

    |

  9. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  10. If xcosy+ycosx=pi then the value of y^(0) is equal to pi (b) -pi (c)...

    Text Solution

    |

  11. The number of ways in which letter of the word '"ARRANGE"' can be arra...

    Text Solution

    |

  12. In a A B C if b=2,c=sqrt(3) and /A=pi/6 , then value of R is equal to...

    Text Solution

    |

  13. If f''(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 a...

    Text Solution

    |

  14. An experiment succeeds twice as often as it fails. Then find the proba...

    Text Solution

    |

  15. In a Delta ABC if b+c = 3a then cot. (B)/(2). cot. (C )/(2) has the va...

    Text Solution

    |

  16. Number of 5 digit numbers which can be read in the same way from the l...

    Text Solution

    |

  17. Let g(x)=log(e)f(x) where f(x) is twice differentiable positive functi...

    Text Solution

    |

  18. If in a triangle A B C ,bcos^2A/2+"a c o s"^2B/2=3/2c , then a ,c ,b a...

    Text Solution

    |

  19. Evaluate the following: (lim)(xvec1)[1/(1+x)-3/(1+x^3)]

    Text Solution

    |

  20. If vector c of magnitude 20sqrt(6) parallel to the bisector of th...

    Text Solution

    |