Home
Class 12
MATHS
Given a matrix A=[a b c b c a c a b],w h...

Given a matrix `A=[a b c b c a c a b],w h e r ea ,b ,c` are real positive numbers `a b c=1a n dA^T A=I ,` then find the value of `a^3+b^3+c^3dot`

A

a+b+c=5

B

`a^(2)+b^(2)+c^(2)=6`

C

ab+bc+ca=2

D

`a^(3)+b^(3)+c^(3)=4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 1

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos
  • MOCK TEST 3

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

Given a matrix A=[[a,b,cb,c,ac,a,b]], where a,b,c are real positive numbers abc=1 and A^(T)A=I, then find the value of a^(3)+b^(3)+c^(3)

If matrix A =[{:( a,b,c),(b,c,a),(c,a,b) :}] where a,b,c are real positive number ,abc =1 and A^(T) A = I then Which of the following is/are true

If a,b,c are positive real numbers such that a +b+c=18, find the maximum value of a^(2)b^(3)c^(4)

If a,b,c are positive real numbers and 2a+b+3c=1 , then the maximum value of a^(4)b^(2)c^(2) is equal to

If (log)_b a(log)_c a+(log)_a b(log)_c b+(log)_a c(log)_bc=3 (where a , b , c are different positive real numbers !=1), then find the value of a b c dot

If log_(b) a. log_(c ) a + log_(a) b. log_(c ) b + log_(a) c. log_(b) c = 3 (where a, b, c are different positive real number ne 1 ), then find the value of a b c.

If log_b a log_c a+log_a blog_c b+log_a clog_b c=3(where a,b,c are different positive real number !=1) then find the value of abc

If a, b, c are positive and a + b + c = 1, then find the least value of (1)/(a)+(2)/(b)+(3)/(c)

If positive numbers a, b, c are in H.P, then minimum value of (a+b)/(2a-b)+(c+b)/(2c-b) is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 2-MCQS
  1. The particular solution of the differential equation y'+3xy=x which pa...

    Text Solution

    |

  2. logically equivalent to ~(~p=>q) is

    Text Solution

    |

  3. Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...

    Text Solution

    |

  4. The value of cos^-1 (cos12) - sin^-1 (sin 12) is

    Text Solution

    |

  5. Let alpha=(pi)/(5) and A=[(cosalpha,sinalpha),(-sinalpha,-cosalpha)], ...

    Text Solution

    |

  6. If in a triangle ABC, a^2+b^2+c^2=ca+ab sqrt3 then the triangle is

    Text Solution

    |

  7. The difference of the tangents of the angles which the lines x^(2)(sec...

    Text Solution

    |

  8. If |a|=|b|=|c|=1anda*b=b*c=c.a=costheta,then the maximum value of thet...

    Text Solution

    |

  9. If alpha,beta,gamma be the angles which a line makes with the coordina...

    Text Solution

    |

  10. let |a|=2sqrt(2),|b|=3 and the angle between a and b is (pi)/(4). If a...

    Text Solution

    |

  11. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ . . .oo))), then (dy)/(dx) is equa...

    Text Solution

    |

  12. If y=sqrt(((1+cos2theta)/(1-cos2theta))),(dy)/(d theta) at theta=(3pi)...

    Text Solution

    |

  13. int(1)/(x^(2)(x^(4)+1)^(3//4))dx is equal to

    Text Solution

    |

  14. The solution of the differential equation (y^(2)dx-2xydy)=x^(3)y^(3)dy...

    Text Solution

    |

  15. x^(2)=xy is a relation which is

    Text Solution

    |

  16. A random variable X takes values 1,2,3 and 4 with probabilities (1)/(6...

    Text Solution

    |

  17. If the probability mass function of a discrete random variable X is P(...

    Text Solution

    |

  18. The order and degree of the differential equation [1+((dy)/(dx))^(2)]^...

    Text Solution

    |

  19. Using integration, find the area bounded by the curves y = |x-1| and ...

    Text Solution

    |

  20. The pair of lines joining origin to the points of intersection of, the...

    Text Solution

    |