Home
Class 12
MATHS
If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| "...

If `D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0`, then D is divisible by

A

divisible by both x and y

B

divisible by x but not y

C

divisible by y but not x

D

divisible by neither x nor y.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • UNIT TEST PAPER NO. 2 (GEOMETRIES)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos

Similar Questions

Explore conceptually related problems

If D= |[1,1,1],[1,1+x, 1],[1,1,1+y]| for x ne 0, y ne 0 then D is

The roots of the equation |(x-1,1,1),(1,x-1,1),(1,1,x-1)| = 0 are

If x, y, z are all different and not equal to zero and |{:(1+x,,1,,1),(1,,1+y,,1),(1,,1,,1+z):}| = 0 then the value of x^(-1) + y^(-1) + z^(-1) is equal to

Evaluate {:|(1,x,y),( 1,x+y,y),( 1,x,x+y)|:}

If (-2,2),(1,0),(x, 0),(1, y) form a parallelogram then (x, y)=

If A=[(3,2),(1,1)] then A^(2)+xA+yI=0 for (x,y) =

If y = (1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then dy/dx =

If x,y,z are different and Delta = |(x, x^2, 1+x^3),(y,y^2,1+y^3),(z,z^2,1+z^3)|= 0 then show that 1 + xyz = 0

y = sin^(-1)((1-x^2)/(1+x^2)), 0 lt x lt 1 .

y = cos^(-1)((1-x^2)/(1+x^2)), 0 lt x lt 1 .

MODERN PUBLICATION-UNIT TEST PAPER NO - 4 -SELECT THE CORRECT ANSWER
  1. If A=[(2,-2,-4),(-1,3,4),(1,-2,x)] is an idempotent matrix, then x equ...

    Text Solution

    |

  2. The value of the determinant |[loga(x/y), loga(y/z), loga(z/x)], [logb...

    Text Solution

    |

  3. If alpha , beta , gamma are the roots of x^3+px+q=0 , then the value o...

    Text Solution

    |

  4. If alpha,beta are the roots of the equation ax^2+bx+c=0 and Sn=alpha^n...

    Text Solution

    |

  5. if A=[[cos,sinx,0],[-sinx,cosx,0],[0,0,1]]=f(x) then A^-1

    Text Solution

    |

  6. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

    Text Solution

    |

  7. Let a,b and c be such that (b+c) ne 0 . If |(a,a+1,a-1),(-b,b+1,b-1)...

    Text Solution

    |

  8. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

    Text Solution

    |

  9. If D = |(1,1,1),(1,1 +x,1),(1,1,1 +y)| " for " x!= 0, y != 0, then D i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If a1, a2, a3,....... are in G.P. then the value of determinant |(log(...

    Text Solution

    |

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

    Text Solution

    |

  14. if A=[{:(alpha,2),(2, alpha):}] and |A^(3)|=125 then the value of alph...

    Text Solution

    |

  15. If 1,omega,omega^2 are the cube roots of unity , then Delta=|(1,ome...

    Text Solution

    |

  16. The number of values of k, for which the system of eauations: (k+1)x...

    Text Solution

    |

  17. Let omega = - (1)/(2) + i (sqrt3)/(2), then the value of the determina...

    Text Solution

    |

  18. If a gt 0 and discriminant of ax^(2) + 2bx + c is negative, then Del...

    Text Solution

    |

  19. If l,m,n are the pth, qth, rth terms respectively of a G.P.(l,m,ngt0) ...

    Text Solution

    |

  20. The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...

    Text Solution

    |