Home
Class 12
MATHS
If p + q + r = a + b + c = 0, then the d...

If p + q + r = a + b + c = 0, then the determinant `|{:(pa,qb,rc),(qc,ra,pb),(rb,pc,qa):}|` equals

A

0

B

1

C

`pa+qb+rc`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|22 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos
  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

If p + q + r = a + b + c = 0, then the determinant |(pa,qb,rc),(qc,ra,pb),(rb,pc,qa)| equal to :

If p+q+r=0=a+b+c , then the value of the determnalnt |p a q b r c q c r a p b r b p c q a|i s 0 b. p a+q b+r c c. 1 d. none of these

If p+q+r=0 and |(pa,qb,rc),(qc,ra,pb),(rb,pc,qa)| = lambda |(a,b,c),(c,a,b),(b,c,a)| then lambda =

If Delta is the value of the determinant |(a_(1), b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3))| then what is the value of the following determinant? |(pa_(1), b_(1), qc_(1)),(pa_(2), b_(2), qc_(2)),(pa_(3), b_(3),qc_(3))| (p ne 0 or 1, q ne 0 or 1)

If a,b,c are there given non-coplanar vectors and any arbitrary vector r is in space. Where, Delta_(1) =|{:(r.a,b.a,c.a),(r.b,b.b,a.b),(r.a,b.c,c.c):}|, Delta_(2)=|{:(a.a,r.a,c.a),(a.b,r.b,c.b),(a.c,r.c,c.c):}|, Delta_(3) =|{:(a.a,b.a,r.a),(a.b,b.b,r.b),(a.c,b.c,r.c):}|, Delta=|{:(a.a,b.a,c.a),(a.b,b.b,c.b),(a.c,c.c,c.c):}| The value of |{:(a,b,c),(a.p,b.p,c.p),(a.q,b.q,c.q):}| is:

MCGROW HILL PUBLICATION-DETERMINANTS-SOLVED EXAMPLES (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. If Delta(1)=|(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c)| and Delta(2)=|(a,b,c...

    Text Solution

    |

  2. If x ,y ,z are different from zero and "Delta"=a b-y c-z a-x b c-z a-x...

    Text Solution

    |

  3. If p + q + r = a + b + c = 0, then the determinant |{:(pa,qb,rc),(qc,r...

    Text Solution

    |

  4. The number of real values of lambda for which the system of equations ...

    Text Solution

    |

  5. The values of k for which the system of equations x+ky-3z=0……..1 3...

    Text Solution

    |

  6. If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite s...

    Text Solution

    |

  7. Given , 2x-y+2z=2, x-2y+z=-4, x+y+lambdaz=4, then the value of lam...

    Text Solution

    |

  8. If the system of linear equations x + 2ay + az = 0 x + 3by + bz = ...

    Text Solution

    |

  9. The system of homogenous equations (a-1)x+(a+2)y+az=0 (a+1)x+ay+(a...

    Text Solution

    |

  10. The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 ...

    Text Solution

    |

  11. If a,b,c are non-zeroes then the system of equations (alpha+a)x+alphay...

    Text Solution

    |

  12. if the system of equation ax+y+z=0, x+by=z=0,and x+y+cz=0 (a,b,c!=1) h...

    Text Solution

    |

  13. If a^(2)+b^(2)+c^(2)=-2 and |{:(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),((...

    Text Solution

    |

  14. Let f(x) = |{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cose...

    Text Solution

    |

  15. if a+b+c=0 then Delta=|{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0 is

    Text Solution

    |

  16. If a != b != c, are value of x which satisfies the equation |(0,x -a...

    Text Solution

    |

  17. If alpha,beta and gamma are such that alpha+beta+gamma=0, then |(1,cos...

    Text Solution

    |

  18. If a,b,and c are the side of a triangle and A,B and C are the angles o...

    Text Solution

    |

  19. If |(1,1,1),(a,b,c),(a^(3),b^(3),c^(3))|= (a -b) (b -c) (c -a) (a + b+...

    Text Solution

    |

  20. The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are ...

    Text Solution

    |