Home
Class 12
MATHS
Let P be the set of all non-singular mat...

Let P be the set of all non-singular matrices of order 3 over ú and Q be the set of all orthogonal matrices of order 3 over ú. Then,

A

P is proper subset of Q

B

Q is proper subset of P

C

Neither P is proper subset of Q nor Q is proper subset of P

D

`P cup Q =phi` the void set

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS , RELATIONS AND FUNCTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)|44 Videos
  • QUADRATIC EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (One or More than One Option Correct Type) |7 Videos
  • SOLUTION OF TRIANGLES

    MTG-WBJEE|Exercise WB JEE (Previous Years Questions) CATEGORY 2: Single Option Correct Type|1 Videos

Similar Questions

Explore conceptually related problems

Let P be the set of all non - singular matrices of order 3 over R and Q be the set of all orthogonal matrices of order 3 over R. Then

Let P be the set of all non-singular matrices of order 3 over and Q be the set of all orthogonal matrices of order 3 over.Then,

If A is non-singular matrix of order 3 ,then the rank of A=

If A is a non-singular matrix of order 3, then |adjA^(3)|=

If A is non singular matrix of order 3 , then the rank of A =

If A is a non singular matrix of order 3 then |adj(A)|= ……………

Let A be an orthogonal non-singular matrix of order n, then |A-I_n| is equal to :

If A and B are square matrices of order 3, then

Let A be the set of all 2 xx 2 matrices whose determinant values is 1 and B be the set of all 2 xx 2 matrices whose determinant value is -1 and each entry of matrix is either 0 or 1, then

The number of all possible matrices of order 3xx 3 with each entry 0 or 1 is

MTG-WBJEE-SETS , RELATIONS AND FUNCTIONS-WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)
  1. if A={5^(n)-4n-1: n in N} and B={16(n-1):n in N} then

    Text Solution

    |

  2. If the function R to R is defined by f(x)=(x^2+1)^(35)AA in R then f ...

    Text Solution

    |

  3. Let P be the set of all non-singular matrices of order 3 over ú and Q ...

    Text Solution

    |

  4. On the set R of real numbers we defined xPy i and only if xylt 0. T...

    Text Solution

    |

  5. On R, a relation p is defined by xpy if and only if x - y is zero or i...

    Text Solution

    |

  6. On the set R of real numbers, the relation p is defined by xpy, ( x ,y...

    Text Solution

    |

  7. If f: R rarr R be defined by f(x) =e^(x) and g:R rarr R be defined b...

    Text Solution

    |

  8. The domain of definition of f(x) = sqrt(1-|x|)/(2-|x|) is

    Text Solution

    |

  9. Let f:R->R be a function is defined by f(x)=x^2-(x^2)/(1+x^2), then

    Text Solution

    |

  10. Consider the function f(x)=cos x^(2) then

    Text Solution

    |

  11. Let f(x)=x(1)/(x-1)+(1)/(x)+(1)/(x+1) x lt 1 then

    Text Solution

    |

  12. We define a binary relationon ~ on the set of all 3 xx 3 real matrices...

    Text Solution

    |

  13. For any real numbers theta and phi we define theta R phi if and only...

    Text Solution

    |

  14. Let X(n)={Z=x+iy:|zA^(2)le(1)/(n)} for all integers n le 1 then unde...

    Text Solution

    |

  15. Let f: N -> R be such that f(1) = 1 and f(1) + 2f(2) + 3f(3) + nf(n), ...

    Text Solution

    |

  16. On set A= {1,2,3}, relation R and S are given by R={(1,1),(2,2),(3,3)...

    Text Solution

    |

  17. Let R be a relation defined on the set of natural numbers N as R={(...

    Text Solution

    |

  18. Statement-1 : For 0 le p lt 1 and for any positive a and b the intequa...

    Text Solution

    |

  19. Let a lt b lt 0 and I(n) =a^(1//n)-b^(1//n),J(n)=(a-b)^(1//n) for al...

    Text Solution

    |

  20. Let f: X rarr Y and A , B are non void subsets of y then where the s...

    Text Solution

    |