Home
Class 12
MATHS
If |{:(,x^(k),x^(k+2),x^(k+3)),(,y^(k),y...

If `|{:(,x^(k),x^(k+2),x^(k+3)),(,y^(k),y^(k+2),y^(k+3)),(,z^(k),z^(k+2),z^(k+3)):}|=(x-y)(y-z)(z-x)((1)/(x)+(1)/(y)+(1)/(z))` then find the value of k.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - C|7 Videos
  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - D|16 Videos
  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION A|33 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos
  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

If |(x^k,x^(k+2),x^(k+3)), (y^k,y^(k+2),y^(k+3)), (z^k,z^(k+2),z^(k+3))|=(x-y)(y-z)(z-x){1/x+1/y+1/z} then k=

Let x gt 0 , y gt 0 , z gt 0 are respectively the 2^(nd) , 3^(rd) , 4^(th) terms of a G.P. and Delta=|{:(x^(k),x^(k+1),x^(k+2)),(y^(k),y^(k+1),y^(k+2)),(z^(k),z^(k+1),z^(k+2)):}|=(r-1)^(2)(1-(1)/(r^(2))) (where r is the common ratio), then

If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersect, then find the value of k .

If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect, then find the value of kdot

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6)/(-5) are perpendicular, find the value of k.

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2) and (x-1)/(3k)=(y-5)/1=(z-6)/(-5) are at right angle, then find the value of k .

If the lines (x)/(1)=(y)/(2)=(z)/(3), (x-k)/(3)=(y-3)/(-1)=(z-4)/(h) and (2x+1)/(3)=(y-1)/(1)=(z-2)/(1) are concurrent, then the value of 2h-3k is equal to

The lines (x-2)/(1) = (y-3)/(1) =(z-4)/(-k) and (x-3)/(k)=(y-4)/(1) = (z-5)/(1) are coplanar if the values of k are

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2)a n d(x-1)/(3k)=(y-5)/1=(z-6)/(-5) are at right angel, then find the value of kdot

If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/(1) intersect, then k is equal to

AAKASH INSTITUTE ENGLISH-DETERMINANTS -SECTION - B
  1. Find the value of k so that A^2=8A+kI where A=[(1,0),(-1,7)].

    Text Solution

    |

  2. If A=[{:(sinalpha,-cosalpha,0),(cosalpha,sinalpha,0),(0,0,1):}] then A...

    Text Solution

    |

  3. If A is a matrix of order 3 and |A|=8 , then |a d j\ A|= (a) 1 (b)...

    Text Solution

    |

  4. The value of the determinant |{:(""^5C0,""^5C3,14),(""^5C1,""^5C4,1),(...

    Text Solution

    |

  5. If Delta1=|{:(10,4,3),(17,7,4),(4,-5,7):}|,Delta2=|{:(4,x+5,3),(7,x+12...

    Text Solution

    |

  6. The value of |{:(x,x^2-yz,1),(y,y^2-zx,1),(z,z^2-xy,1):}| is

    Text Solution

    |

  7. The value of |(i^m,i^(m+1),i^(m+2)),(i^(m+5),i^(m+4),i^(m+3)),(i^(m+6...

    Text Solution

    |

  8. The value of the determinant |(-(2^5 + 1)^2,2^10 -1,1/(2^5-1)),(2^10...

    Text Solution

    |

  9. when the determinant |{:(cos2x,,sin^(2)x,,cos4x),(sin^(2)x,,cos2x,,co...

    Text Solution

    |

  10. if alpha,beta,gamma are non-real numbers satisfying x^3-1=0, then the ...

    Text Solution

    |

  11. The value of sum(n=1)^(N) Un=|{:(n,1,5),(n^2,2N+1,2N+1),(n^3,3N^2,3N):...

    Text Solution

    |

  12. if a,b,c are positive and are the pth qth and rth terms respectively ...

    Text Solution

    |

  13. Let a , b and c be positive and not all equal. Show that the va...

    Text Solution

    |

  14. The greatest value of x satisfying the equation |(2^11-x,-2^12,2^11),...

    Text Solution

    |

  15. The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z =...

    Text Solution

    |

  16. Let A=[(0,0,-1),(0,-1,0),(-1,0,0)] Then only correct statement about t...

    Text Solution

    |

  17. find the larget value of a third- order determinant whose elements a...

    Text Solution

    |

  18. If |{:(,x^(k),x^(k+2),x^(k+3)),(,y^(k),y^(k+2),y^(k+3)),(,z^(k),z^(k+2...

    Text Solution

    |

  19. If all elements of a third order determinant are equal to 1 or -1. the...

    Text Solution

    |

  20. If A is a 3xx3 matrix and det (3A) = k det(A) , k is equal to:

    Text Solution

    |