Home
Class 12
MATHS
If the matrix A=[(2,5), (1,3)], then the...

If the matrix `A=[(2,5), (1,3)]`, then the value of `(|A^(100)+A^(98)|)/(|A^(20)+A^(18)|)` is equal to

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS TEST

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

  • NTA JEE MOCK TEST 101

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If matrix A=[(2,2),(2,3)] then the value of [adj. A] equals to :

If A is matrix of order 3 such that |A|=5 and B= adj A, then the value of ||A^(-1)|(AB)^(T)| is equal to (where |A| denotes determinant of matrix A. A^(T) denotes transpose of matrix A, A^(-1) denotes inverse of matrix A. adj A denotes adjoint of matrix A)

.If a diagonal matrix " A=diag[-1,2,5]" then value of |A| is

The value of 4 cos 18^(@)-(3)/(cos 18^(@))-2 tan 18^(@) is equal to

Let A=[[2,4],[-1,-2]] ,then the value of det(1+2A+3A^(2)+4A^(3)+5A^(4)+...+101A^(100)) equals (where I is the identity matrix of order 2)

Let matrix A=[[1,0,0],[1,0,1],[0,1,0]] then the value of |A^(2012)-I| is equal to

" A is a square matrix of order "3" where "A=([1,2,3],[2,3,4],[5,6,8])" then the value of "|(" adj "(adj(adj(adj A))))" is equal to "

If matrix A=[(-5,-8,0),(3,5,0),(1,2,-1)] then find tr(A)+tr(A^(2))+te(A^(3))+…+tr(A^(100))

If a_(n) is a geometric sequence with a_(1)=2 and a_(5)=18, then the value of a_(1)+a_(3)+a_(5)+a_(7) is equal to

NTA MOCK TESTS-NTA JEE MOCK TEST 100-MATHEMATICS
  1. The locus of mid - points of all chords of parabola y^(2)=4x, for whic...

    Text Solution

    |

  2. An exam consists of 3 problems selected randomly from a collection of ...

    Text Solution

    |

  3. If the matrix A=[(2,5), (1,3)], then the value of (|A^(100)+A^(98)|)/(...

    Text Solution

    |

  4. Let f(x)=(x(3^(x)-1))/(1-cosx)" for "x ne0. Then value of f(0), which ...

    Text Solution

    |

  5. The total number of divisors of the number N=2^(5).3^(4).5^(10).7^(6) ...

    Text Solution

    |

  6. The value of sin^(-1)sin17+cos^(-1)cos10 is equal to

    Text Solution

    |

  7. For any two sets A and B, the values of [(A-B)uuB]^(C ) is equal to

    Text Solution

    |

  8. Tangents are drawn to a unit circle with centre at the origin from eac...

    Text Solution

    |

  9. A straight line L cuts the sides AB, AC, AD of a parallelogram ABCD at...

    Text Solution

    |

  10. If eccentricity of the ellipse (x^(2))/(a^(2)+1)+(y^(2))/(a^(2)+2)=1 i...

    Text Solution

    |

  11. If the cubic equation z^(3)+az^(2)+bz+c=0 AA a, b, c in R, c ne0 has a...

    Text Solution

    |

  12. If the integral I(n)=int(0)^((pi)/(2))(sin(2n-1)x)/(sinx)dx,. Then the...

    Text Solution

    |

  13. In an arithmetic progression the (p+1)^("th") term is twice the (q+1)^...

    Text Solution

    |

  14. If f(x) is a differentiable function satisfying |f'(x)|le4AA x in [0, ...

    Text Solution

    |

  15. The equation of the curve satisfying the differential equation (dy)/(d...

    Text Solution

    |

  16. The product of a 9xx4 matrix and a 4xx9 matrix contains a variable x i...

    Text Solution

    |

  17. If the mean of 50 observation is 25 and their standard deviation is 4 ...

    Text Solution

    |

  18. If the point M(h, k) lie on the line 2x+3y=5 such that |MA-MB| is maxi...

    Text Solution

    |

  19. The indefinite integral I=int(sec^(2)xtanx(secx+tanx)dx)/((sec^(5)x+se...

    Text Solution

    |

  20. The total number of solutions of the equation sinx tan4x=cosx for all ...

    Text Solution

    |