Home
Class 12
MATHS
Given y=y(x)passing through (1,2) such t...

Given `y=y(x)`passing through (1,2) such that `xdy/dx +y = bx^4` then find b if `int_1^(2) f(x)dx=62/5`

A

5

B

10

C

`(62)/(5)`

D

`(31)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-B|50 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

solve xdy/dx-y=2x^2

If the graph of the function y = f(x) passes through the points (1, 2) and (3, 5), then int_(1)^(3)f'(x) dx=

If y=f(x) passing through (1,2) satisfies are differential equation y(1+xy)dx-x dy=0, then

If y=x sin y then prove that xdy/dx=(y)/(1-x cos y)

If the curve y=f(x) passing through the point (1,2) and satisfies the differential equation xdy+(y+x^(3)y^(2))dx=0 ,then

If y=sin(2sin^-1x) show that (1-x^2)(d^2y)/(dx^2)= xdy/dx-4y

x^2dy+(y-1/x)dx=0 at y(1)=1 then find the value of y(1/2)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-A
  1. A curve y=ax^2+bx+c passing through the point (1,2) has slope of tange...

    Text Solution

    |

  2. The area of the region : R = {(x, y) : 5x^2 le y le 2x^2 + 9} is :

    Text Solution

    |

  3. Given y=y(x)passing through (1,2) such that xdy/dx +y = bx^4 then find...

    Text Solution

    |

  4. f(0)=1 , f(2)=e^2 , f'(x)=f'(2-x) , then find the value of int0^(2)f(x...

    Text Solution

    |

  5. If A is symmetric matrix and B is skew symmetric matrix of order 3xx3,...

    Text Solution

    |

  6. Let a, b, c be in arithmetic progression. Let the centroid of the tri...

    Text Solution

    |

  7. For the system of linear equations : x - 2y = 1, x - y + kz = -2, k...

    Text Solution

    |

  8. The probability that two randomly selected subsets of the set {1, 2, ...

    Text Solution

    |

  9. Let hati+yhatj+zhatk and xhati-hatj+hatk are parallel then unit vector...

    Text Solution

    |

  10. Let A = {1,2,3,…..10} and f:ArarrA be defined as f(k)={{:(k+1," if k i...

    Text Solution

    |

  11. Let f:RrarrR be defined as f(x)={{:(2sin(-(pix)/2)",",if xlt-1),(|ax^2...

    Text Solution

    |

  12. f(x)=int1^x lnt/(1+t) dt , f(e)+f(1/e)=

    Text Solution

    |

  13. The prime factorization of a number 'n' is given as n=2^x xx 3^y xx 5^...

    Text Solution

    |

  14. Let f(x)= sin^(-1)x and g(x) = (x^2-x-2)/(2x^2-x-6). If g(2)=underset(...

    Text Solution

    |

  15. The triangle of maximum area that can be inscribed in a given circle o...

    Text Solution

    |

  16. Let L be a line obtained from the intersection of two planes x+2y+z = ...

    Text Solution

    |

  17. Let F1(A,B,C)=(A^^~B)vv[~C^^(AvvB)]vv~A and F2(A,B)=(AvvB)vv(BrarrA) b...

    Text Solution

    |

  18. The slope of the tangent to curve is (xy^2+y)/x and it intersects the ...

    Text Solution

    |

  19. Locus of the mid-point of the line joining (3,2) and point on (x^2+y^2...

    Text Solution

    |

  20. Consider the following system of equations : {:(x+2y-3z=a),(2x+6y-11...

    Text Solution

    |