Home
Class 12
MATHS
Let A=[(0,alpha),(0,0)] and (A+I)^(50)=5...

Let `A=[(0,alpha),(0,0)]` and `(A+I)^(50)=50 A=[(a,b),(c,d)]` Then the value of `a+b+c+d` is (A) `2` (B) `1` (C) `4` (D) none of these

Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos
  • METHODS OF DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

Let A=[(2,1),(0,3)] be a matrix. If A^(10)=[(a,b),(c,d)] then prove that a+d is divisible by 13.

If f(x) = x+ 1/x , x>0 then the greatest value of f(x) is (a) -2 (b)0 (c) 3 (d) none of these

If the line joining the points (0,3) and (5,-2) is a tangent to the curve y=C/(x+1) , then the value of C is (a) 1 (b) -2 (c) 4 (d) none of these

If a >0, then least value of (a^3+a^2+a+1)^2 is (a) 64 a^2 (b) 16 a^4 (c) 16 a^3 (d)d. none of these

The number of real solutions of the (log)_(0. 5)(x)=|x| is (a) 1 (b) 2 (c) 0 (d) none of these

If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)_d a+(log)_b d+(log)_a c+(log)_c b is (a) 4 (b) 2 (c) 1 (d)none of these

Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=[1/6(A^2+cA+dI)] Then value of c and d are (a) (-6,-11) (b) (6,11) (c) (-6,11) (d) (6,-11)

If A={:[(a,b),(c,d)] and I={:[(1,0),(0,1)] Show that, A^(2)-(a+d)A=(bc-ad)I .

The number of real solutions of the (log)_(0. 5)|x|=2|x| is (a) 1 (b) 2 (c) 0 (d) none of these

If a ,b ,c ,d in R^+ and a ,b ,c,d are in H.P., then (a) a+d > b+c (b) a+b > c+d (c) a+c > b+d (d)none of these

CENGAGE PUBLICATION-MATRICES-All Questions
  1. If A and B are square matrices of order n , then prove that Aa n dB wi...

    Text Solution

    |

  2. Matrix A such that A^2=2A-I ,w h e r eI is the identity matrix, the fo...

    Text Solution

    |

  3. Let A=[(0,alpha),(0,0)] and (A+I)^(50)=50 A=[(a,b),(c,d)] Then the val...

    Text Solution

    |

  4. If e^(A) is defined as e^(A)=I+A+A^(2)/(2!)+A^(3)/(3!)+...=1/2 [(f(x),...

    Text Solution

    |

  5. Prove that matrix [((b^(2)-a^(2))/(a^(2)+b^(2)),(-2ab)/(a^(2)+b^(2))),...

    Text Solution

    |

  6. If A=[(a,b),(c,d)], where a, b, c and d are real numbers, then prove t...

    Text Solution

    |

  7. If A=([a(i j)])(nxxn) is such that ( a )(i j)=bar (a(j i)),AAi ,j and...

    Text Solution

    |

  8. Find the possible square roots of the two rowed unit matrix I.

    Text Solution

    |

  9. Prove the orthogonal matrices of order two are of the form [(cos theta...

    Text Solution

    |

  10. Let A=[("tan"pi/3,"sec" (2pi)/3),(cot (2013 pi/3),cos (2012 pi))] and ...

    Text Solution

    |

  11. Consider, A=[(a,2,1),(0,b,0),(0,-3,c)], where a, b and c are the roots...

    Text Solution

    |

  12. If A and B are square matrices of order 3 such that |A| = 3 and |B| = ...

    Text Solution

    |

  13. If a matrix has 28 elements, what are the possible orders it can have ...

    Text Solution

    |

  14. Construct a 2xx2 matrix, where (i) a("ij")=((i-2j)^(2))/(2) (ii) a("...

    Text Solution

    |

  15. What is the maximum number of different elements required to form a sy...

    Text Solution

    |

  16. If a square matix a of order three is defined A=[a("ij")] where a("ij"...

    Text Solution

    |

  17. For what values of x and y are the following matrices equal ? A=[(2x...

    Text Solution

    |

  18. For alpha, beta, gamma in R, let A=[(alpha^(2),6,8),(3,beta^(2),9),(...

    Text Solution

    |

  19. Find the values of x for which matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2...

    Text Solution

    |

  20. If A=[(1,2),(3,4),(5,6)] and B=[(-3,-2),(1,-5),(4,3)], then find D=[(p...

    Text Solution

    |