Home
Class 11
MATHS
" if " |{:(b+c,,c+a,,a+b),(a+b,,b+c,,c+...

` " if " |{:(b+c,,c+a,,a+b),(a+b,,b+c,,c+a),(c+a,,a+b,,b+c):}|=k |{:(a,,b,,c),(c,,a,,b),(b,,c,,a):}|` then the value of k is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • DETERMINANTS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|6 Videos

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|27 Videos

  • DISCRETE PROBABILITY DISTRIBUTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|40 Videos

Similar Questions

Explore conceptually related problems

Simply |{:(,a,b,c),(,b,c,a),(,c,a,b):}|

|{:(a,b,c),(b,c,a),(c,a,b):}| is equal to

If |{:(a,b,a),(b,c,1),(c,a,1):}|=2010 and if |{:(c-a,c-b,ab),(a-b,a-c,bc),(b-c,b-a,ca):}|-|{:(c-a,c-b,c^(2)),(a-b,a-c,a^(2)),(b-c,b-a,b^(2)):}|=p , then the number of positive divisors of p is

The value of |(b +c,a,a),(b,c +a,b),(c,c,a +b)| , is

Prove: |(a+b,b+c,c+a),( b+c,c+a, a+b),( c+a, a+b,b+c)|=2|(a, b, c),( b, c, a),( c, a, b)|

The value of |{:(1+a,b,c),(a,1+b,c),(a,b,1+c):}| is

Prove that: |{:(-2a,, a+b,, a+c), (b+a,,-2b,,b+c),(c+a ,,c+b,,-2c):}|=4(a+b)(b+c)(c+a)

If a+b+c!= and |(a,b,c),(b,c,a),(c,a,b)|=0 then prove that a=b=c

If the determinant |(b -c,c -a,a -b),(b' -c',c' -a',a' -b'),(b'' -c'',c'' -a'',a'' - b'')| is expressible an m |(a,b,c),(a',b',c'),(a'',b'',c'')| , then the value of m, is

Prove: |(a, b-c,c-b),( a-c, b, c-a),( a-b,b-a, c)|=(a+b-c)(b+c-a)(c+a-b)

OBJECTIVE RD SHARMA ENGLISH-DETERMINANTS-Exercise
  1. if a(1),a(2),…….a(n),……. form a G.P. and a(1) gt 0 , for all I ge 1 ...

    Text Solution

    |

  2. For x ne y ne z , |{:(1+x^(3),,x^(2),,1),(1+y^(3),,y^(2),,1),(1+z^(3...

    Text Solution

    |

  3. " if " |{:(b+c,,c+a,,a+b),(a+b,,b+c,,c+a),(c+a,,a+b,,b+c):}|=k |{:(a...

    Text Solution

    |

  4. If A is a square matrix of order n such that its elements are polynomi...

    Text Solution

    |

  5. Prove the identities: |{:(b^(2)+c^(2),,ab,,ac),(ab,,c^(2)+a^(2),,bc),...

    Text Solution

    |

  6. a^(−1)+b^(−1)+c^(−1)=0 such that |[1+a,1,1,],[1,1+b,1,],[1,1,1+c,]| =△...

    Text Solution

    |

  7. If alpha,beta,gamma are real numbers, then without expanding at any...

    Text Solution

    |

  8. If A,B,C are the angles of triangle ABC, then the minimum value of |{:...

    Text Solution

    |

  9. If x, y , z are in A.P., then the value of the det (A) is , where A ...

    Text Solution

    |

  10. Find the number of real root of the equation |0x-a x-b x+a0x-c x+b x+c...

    Text Solution

    |

  11. If a , b , c are distinct, then the value of x satisfying |0x^2-a x^3-...

    Text Solution

    |

  12. Let the following system of equations {:(kx+y+z=1),(x+ky+z=k),(x+y+k...

    Text Solution

    |

  13. Show that: |b^2+c^2a b a c b a c^2+a^2b c c a c b a^2+b^2|=4a^2b^2c^2

    Text Solution

    |

  14. Let triangle =|[2a1b1, a1b2+a2b1, a1b3+a3b1], [a1b2+a2b1, 2a2b2, a2b3+...

    Text Solution

    |

  15. If B is a non-sinfular matrix and A is square matrix, then det B^(-1)A...

    Text Solution

    |

  16. If 0 lt theta lt pi and the system of equations (sin theta) x + y + ...

    Text Solution

    |

  17. If the determinant |(b -c,c -a,a -b),(b' -c',c' -a',a' -b'),(b'' -c'',...

    Text Solution

    |

  18. If a !=b, then the system of equation ax + by + bz = 0 bx + ay + bz ...

    Text Solution

    |

  19. if |{:(1,,1,,1),(a,,b,,c),(a^(3),,b^(3),,c^(3)):}|= (a-b)(b-c)(c-a)(a+...

    Text Solution

    |

  20. Show that a x+b y+r=0,b y+c z+p=0a n dc z+a x+q=0 are perpendicular to...

    Text Solution

    |