Home
Class 12
MATHS
The equation of one of the curves whose ...

The equation of one of the curves whose slope of tangent at any point is equal to `y+2x` is (A) `y=2(e^x+x-1)` (B) `y=2(e^x-x-1)` (C) `y=2(e^x-x+1)` (D) `y=2(e^x+x+1)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Show that the equation of the curve whose slope at any point is equal to y + 2x and which passes through the origin is y = 2(e^(x) - x-1) .

Show that the equation of the curve whose slope at any point is equal to y+2x and which passes through the origin is y+2(x+1)=2e^(2x)

show that the equation of the curve whose slope at any point is equal to y+2x and which passes through the origin is y+2(x+1)=2e^(2x)

The equation of the tangent to the curve y=(2x-1)e^(2(1-x)) at the point of its maximum, is

The equation of the curve passing through origin, whose slope at any point is (x(1+y))/(1+x^2) , is (A) (1+y)^2-x^2=1 (B) x^2+(y+1)^2=1 (C) (x+y)y=1-x^2 (D) x=ye^((1+y))

Equation of the tangent to the curve y=1-e^((x)/(2)) at the point where the curve cuts y -axis is

Slope of tangent of the curve y=x^2+x+1 at x=1 is ___

RESONANCE DPP-JEE MAINS-All Questions
  1. The roots of the equation cot x-cosx=1-cot xcos x are (1) npi+pi/4,...

    Text Solution

    |

  2. The degree of the differential equation ((d^2y)/(dx^2))^3+((dy)/(dx...

    Text Solution

    |

  3. The equation of one of the curves whose slope of tangent at any point ...

    Text Solution

    |

  4. The number of ordered pairs (m, n ,p) such that 2^m+ 2^n +2^p is div...

    Text Solution

    |

  5. The number of tangents drawn from point (-5,3) to the hyperbola (x^2)/...

    Text Solution

    |

  6. If x^2+a x+10=0 and x^2+b x-10=0 have common root, then a^2-b^2 is equ...

    Text Solution

    |

  7. Let F(x) =int(sinx)^(cos x) e^((1+arcsin t)^2) dt on [0,pi/2] then(A)...

    Text Solution

    |

  8. Find angle of intersection of the curves y=4 - x^2 and y=x^2.

    Text Solution

    |

  9. Let f and g be two real values functions defined by f(x)= x + 1 and ...

    Text Solution

    |

  10. If 2a^2 - 7ab -ac +3b^2-2bc-c^2=0 then the family of lines ax + by + c...

    Text Solution

    |

  11. If two of the 64 squares are chosen at random on a chess board, the pr...

    Text Solution

    |

  12. If 4 squares are chosen at random on a chess board, the probability th...

    Text Solution

    |

  13. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

    Text Solution

    |

  14. The area of the triangle whose sides. are 5 cm, 13 cm and 12 cm is

    Text Solution

    |

  15. The median of a set of 9 distinct observations is 20.5. If each of the...

    Text Solution

    |

  16. The coefficient of x^4 in the expansion of (1+x-2x^2)^7 is :

    Text Solution

    |

  17. If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find th...

    Text Solution

    |

  18. If tanB= (nsinA cosA)/(1-ncos^2A)then tan(A +B) equals

    Text Solution

    |

  19. int- 1^1(e^(-1/ x))/(x^2(1+e^(-2/ x)))dx is equal to :

    Text Solution

    |

  20. Construct the truth table for the followings statements : (a) (p^^q)...

    Text Solution

    |