Home
Class 12
MATHS
Let J(n,m) = int0^(1//2) x^n/(x^m-1), AA...

Let `J_(n,m) = int_0^(1//2) x^n/(x^m-1), AA ngt mand n, m in N`. Consider a matrix `A= [a_(ij)]_(3xx3)` where
`a_(ij)={{:(J_(6 + i,3) - J_(i + 3, 3)",", ilt j),(0",",igtj):}`. Then `abs(adj A^(-1))` is :

A

`(105)^2 xx2^(38)`

B

`(105)^2 xx 2^36`

C

`(15)^2 xx 2^42`

D

`(15)^2 xx 2^34`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section B|20 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A)|80 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-B)|40 Videos
  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

Let J_(n,m) = int_0^(1//2) x^n/(x^m-1), AA ngt mand n, m in N . Consider a matrix A= [a_(ij)]_(3xx3) where a_(ij)={{:(J_(6 + i,3) - J_(i + 3, 3)",", ile j),(0",",igtj):} . Then abs(adj A^(-1)) is :

Construct a matrix [a_(ij)]_(3xx3) , where a_(ij)=2i-3j .

Construct a matrix [a_(ij)]_(3xx3) ,where a_(ij)=(i-j)/(i+j).

Write down the matrix A=[a_(ij)]_(2xx3), where a_ij=2i-3j

If A=|a_(ij)]_(2 xx 2) where a_(ij) = i-j then A =………….

If a square matrix A=[a_(ij)]_(3 times 3) where a_(ij)=i^(2)-j^(2) , then |A|=

If matrix A=[a_(ij)]_(3xx2) and a_(ij)=(3i-2j)^(2) , then find matrix A.

Find the value of a_(23)+a_(32) in the matrix A=[a_(ij)]_(3xx3) where a_(ij)={{:(|2i-j|,"if "igtj),(-i+2j+3,"if "iltj):}

The square matrix A=[a_(ij)" given by "a_(ij)=(i-j)^3 , is a

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics Section A
  1. If n is the number of solutions of the equation 2 cos x (4 sin ((pi)/4...

    Text Solution

    |

  2. Which of the following is equivalent to the Boolean expression P^^~q ?

    Text Solution

    |

  3. Let J(n,m) = int0^(1//2) x^n/(x^m-1), AA ngt mand n, m in N. Consider ...

    Text Solution

    |

  4. Consider the system of linear equations - x + y + 2z = 0 3x - ay...

    Text Solution

    |

  5. The number of pairs (a, b) of real numbers, such that whenever a is a ...

    Text Solution

    |

  6. If y = y (x) is the solution curve of the differential equation x^2d...

    Text Solution

    |

  7. The function f(x), that satisfies the condition f(x) = x + int0^(pi//...

    Text Solution

    |

  8. Let theta be the acute angle between the tangents to the ellipse x^2/...

    Text Solution

    |

  9. The area enclosed by the curvesy= sinx+cosx and y = | cosx-sin x | ove...

    Text Solution

    |

  10. Let a1, a2, …, a21 be an AP such that sum(n=1)^20 1/(an a(n+1)) = 4/9...

    Text Solution

    |

  11. Let P1, P2…, P15 be 15 points on a circle. The number of distinct tria...

    Text Solution

    |

  12. Two squares are chosen at random on a chessboard (see figure). The pro...

    Text Solution

    |

  13. Let f: R to R be a continuous function. Then lim(x to pi//4) (pi/4 in...

    Text Solution

    |

  14. The distance of line 3y - 2z - 1 = 0 = 3x - z + 4 from the point (2, -...

    Text Solution

    |

  15. Let f be any continuous function on [0, 2] and twice differentiable on...

    Text Solution

    |

  16. Let f : N rarr N be a function such that f(m + n) = f(m) + f(n) for ev...

    Text Solution

    |

  17. If alpha = lim(x rarr pi//4)""(tan^(3)x - tan x)/(cos (x + (pi)/(4))) ...

    Text Solution

    |

  18. Let vec(a), vec(b), vec(c) be three vectors mutually perpendicular to ...

    Text Solution

    |

  19. An angle of intersection of the curves , (x^(2))/(a^(2)) + (y^(2))/(b^...

    Text Solution

    |

  20. If [x] is the greatest integer le x, then pi^(2) int(0)^(2)(sin""(pi ...

    Text Solution

    |