Home
Class 12
MATHS
If p, q, r are 3 real number satisfying ...

If `p, q, r` are `3` real number satisfying the matrix equation, `[p q r][[3,4,1],[3,2,3],[2,0,2]]=[3,0,1]` then `2p+q-r` equals

A

-3

B

-1

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 3)|23 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 1)|14 Videos

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos

Similar Questions

Explore conceptually related problems

If p,q,r are 3 real number satisfying the matrix equation,[pqr][[3,4,13,2,32,0,2]]=[3,0,1]

If p&q are two real numbers satisfying the relation 2p^(2)-3p-1=0 and q^(2)+3q-2=0 respectivelyand pq!=1, then

if p,q,r are real numbers satisfying the condition p + q +r =0 , then the roots of the quadratic equation 3px^(2) + 5qx + 7r =0 are

Let A=[[0,2q,r] , [p,q,-r] , [p,-q,r]] If A A^T=I_3 then |p|=

If p, q, r are the roots of the equation x^3 -3x^2 + 3x = 0 , then the value of |[qr-p^2, r^2 , q^2],[r^2,pr-q^2,p^2],[q^2,p^2,pq-r^2]|=

Let pa n dq be real numbers such that p!=0,p^3!=q ,a n d p^3!=-qdot If alphaa n dbeta are nonzero complex numbers satisfying alpha+beta=-pa n dalpha^2+beta^2=q , then a quadratic equation having alpha//betaa n dbeta//alpha as its roots is A. (p^3+q)x^2-(p^3+2q)x+(p^3+q)=0 B. (p^3+q)x^2-(p^3-2q)x+(p^3+q)=0 C. (p^3+q)x^2-(5p^3-2q)x+(p^3-q)=0 D. (p^3+q)x^2-(5p^3+2q)x+(p^3+q)=0

DISHA PUBLICATION-MATRICES-Exercise 1: Concept Builder (Topic 2)
  1. Let {:A=[(1,2),(3,4)]and BA=[(a,0),(0,b)]:},a,b in N Then,

    Text Solution

    |

  2. If A and B are 2xx2 matrices, then which of the following is true ?

    Text Solution

    |

  3. If p, q, r are 3 real number satisfying the matrix equation, [p q r][[...

    Text Solution

    |

  4. If f(x)=x^(2)+4x-5andA={:[(1,2),(4,-3)]:}, then f(A) is equal to

    Text Solution

    |

  5. If [(1,x,1)][(1,3,2),(0,5,1),(0,3,2)][(x),(1),(-2)]=[0] then x is

    Text Solution

    |

  6. Let A=[a0 0 0a0 0 0a] , then A^n is equal to [a^n0 0 0a^n0 0 0a] (b) [...

    Text Solution

    |

  7. Which is true about matirx multiplication?

    Text Solution

    |

  8. If R(t)=[(cost,si nt),(-si nt,cost)], then R(s)R(t) equals

    Text Solution

    |

  9. If [(alpha,beta),(gamma,-alpha)] is square root of identity matrix of ...

    Text Solution

    |

  10. If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the...

    Text Solution

    |

  11. Find matrices X, if 2X-Y=[(6,-6,0),(-4,2,1)] and X+2Y=[(3,2,5),(-2,1,-...

    Text Solution

    |

  12. If A=[(1,2,8)],B=[(4),(5),(6)], and C=[(0,2,0)] and D=[(5),(2),(4)], t...

    Text Solution

    |

  13. If [(2,0,7),(0,1,0),(1,-2,1)][(-x,14x,7x),(0,1,0),(x,-4x,-2x)]=[(1,0,0...

    Text Solution

    |

  14. If A is involuntary matrix and I is unit matrix of the same order then...

    Text Solution

    |

  15. Suppose a matrix A satisfies A^(2)-5A+7I=0. If A^(8)=aA+bI, find a-b.

    Text Solution

    |

  16. If {:A=[(0,1),(1,0)]:},I is the unit matrix of order 2 and a, b are a...

    Text Solution

    |

  17. If A is a square matrix such that A^2=A ,t h e n(I+A)^3-7A is equal to...

    Text Solution

    |

  18. Matrix A ha s m rows and n+ 5 columns; matrix B has m rows and 11 - n ...

    Text Solution

    |

  19. If X=[{:(3,-4),(1,-1):}],B=[{:(5,2),(-2,1):}]and A=[{:(p,q),(r,s):}] I...

    Text Solution

    |

  20. If {:A=[(costheta,sintheta),(-sintheta,costheta)]:}, " then "underset(...

    Text Solution

    |