Home
Class 12
MATHS
A curve y = (x) which passes through (4,...

A curve y = (x) which passes through (4,0) satisfy the differential equation `x dy+2y dx=x(x-3)dx` . The area bounded by `y=f(x)` and line `y=x` (in square unit) is- 32 (2) `(64)/3` (3) `(128)/3` (4) 64

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

Let a curve passes through (3, 2) and satisfied the differential equation (x-1) dx + 4(y -2) dy = 0

A curve passes through (1,0) and satisfies the differential equation (2x cos y + 3x^2y) dx +(x^3 - x^2 siny - y)dy = 0

Solve the differential equation: (1+y+x^2y)dx+(x+x^3)dy=0

Solve the differential equation: (x+3y^2)(dy)/(dx)=y

Solve the differential equation (y+3x^2)(dx)/(dy)=x .

Solve the differential equation (dy)/(dx)=(2y-6x-4)/(y-3x+3).

The solution of the differential equation ((x+2y^3)dy)/(dx)=y is

If a curve y=f(x) passes through the point (1,-1) and satisfies the differential equation ,y(1+x y)dx""=x""dy , then f(-1/2) is equal to:

Solve the following differential equation: 3x^2dy=(3x y+y^2)dx

The area bounded by the curves y=x(x-3)^2a n dy=x is________ (in sq. units)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let omega ne 1 be a complex cube root of unity. If ( 4 + ...

    Text Solution

    |

  2. Let U" "=" "{1," "2," "3," "4," "5," "6," "7," "8," "9," "10} and A" "...

    Text Solution

    |

  3. A curve y = (x) which passes through (4,0) satisfy the differential ...

    Text Solution

    |

  4. The coefficient of x^3 in the expansion of (1+2x+3x^2)^(10) is - (1)...

    Text Solution

    |

  5. if f(x) is differentiable function such that f(1) = sin 1, f (2)= sin ...

    Text Solution

    |

  6. Domain of the function f(x)=sqrt(2-sec^(-1)x) is

    Text Solution

    |

  7. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

    Text Solution

    |

  8. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

    Text Solution

    |

  9. If (b+c-a)/a ,(c+a-b)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ...

    Text Solution

    |

  10. The asymptotes of the hyperbola x y=h x+k y are x-k=0 and y-h=0 x+h=0...

    Text Solution

    |

  11. A movable parabola touches the x and the y-axes at (1,0)a n d(0,1) . T...

    Text Solution

    |

  12. If parabolas y^(2)=lamdaxand25[(x-3)^(2)+(y+2)^(2)]=(3x-4y-2)^(2) are ...

    Text Solution

    |

  13. The number of real tangents that can be drawn to the ellipse...

    Text Solution

    |

  14. The curve represented by x=2(cost+sint) and y = 5(cos t-sin t ) is

    Text Solution

    |

  15. Set of value of m for which a chord of slope m of the circle x^2+y^2=4...

    Text Solution

    |

  16. If int(3x^(2)+2x)/(x^(6)+2x^(5)+x^(4)+2x^(3)+2x^(2)+5)dx = F(x), then ...

    Text Solution

    |

  17. If f(x)=int0^x(sint)/t dt ,x >0, then (a)f(x) has a local maxima at x=...

    Text Solution

    |

  18. If P(A/C) gt P(B/C) and P(A/(bar C)) gt P(B/(bar C)), then the relatio...

    Text Solution

    |

  19. The value of int((x^(2)+1))/((x^(4)-x^(2)+1)cot^(-1)(x-(1)/(x)))dx wil...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |