Home
Class 12
MATHS
The value of the determinant |{:(1 , x...

The value of the determinant
`|{:(1 , x , x+ z) , (1 , y , z + x) , (1 , z , x + y):}|` is

A

x

B

y

C

z

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 8

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • MODEL TEST PAPER 10

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

|(x, 4, y+z),(y, 4, z+x),(z, 4, x+y)|=

The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

using properties of determinant prove that {:[( x,x^(2) , 1+ px^(3) ),( y,y^(2) , 1+ py^(2)),( z,z^(2) , 1+pz^(2)) ]:} =( 1+pxyz ) ( x-y) ( y-z ) (z-x) , where p is any scalar .

If Delta= [[0 , x , -y ],[-x , 0 , z],[ y , -z , 0 ]] then

|[1, x, x^2 ],[1, y, y^2],[1, z, z^2]|=

Using the property of determinants and without expanding {:|( x,a,x+a),( y,b,y+b),(z,c,z+c)|:} =0

If cos x = tan y , cos y = tan z , cos z = tan x , then the value of sin x is :

Find the product of (5x - y +z) (5x - y +z)

Solve the following system of linear equations by matrix method : 3x - 2y + 3z = 8, 2x + y - z = 1, 4x - 3y + 2z = 4

If x gt 1, y gt 1 , z gt 1 are in G.P., then : ( 1)/( 1+ log x ) , ( 1)/( 1+ log y ) , ( 1) /( 1 + log z ) are in :

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 02-MATHEMATICS
  1. If alpha , beta are the roots of the equation 1 + x + x^(2) = 0 , then...

    Text Solution

    |

  2. If the determinant |{:(x , 1 , 3) , ( 0 , 0 , 1) , (1 , x , 4):}|=0 ,...

    Text Solution

    |

  3. The value of the determinant |{:(1 , x , x+ z) , (1 , y , z + x) , (...

    Text Solution

    |

  4. If the matrix B be the adjoint of the square matrix A , l be the ident...

    Text Solution

    |

  5. If the system of equation : x + y + z = 0 , 2 x + 3y + 4z = 0 , kx + ...

    Text Solution

    |

  6. The value of sin 10^(@) + sin 20^(@) + sin 30^(@) + …. + sin 360^(@) i...

    Text Solution

    |

  7. If A + B+ C = 3 pi//2 , then the value of cos 2 A + cos 2 B + cos2 C...

    Text Solution

    |

  8. If (sin (x + y))/(sin (x -y)) = (a + b)/(a - b) , then the value of (...

    Text Solution

    |

  9. The value of (sin^(2) 3 A)/(sin^(2) A) - (cos^(2) 3 A)/(cos^(2) A) is ...

    Text Solution

    |

  10. If sin^(-1) ((2a)/(1 +a^(2))) + sin^(-1) ((2b)/(1 + b^(2))) = 2tan^(-1...

    Text Solution

    |

  11. If in a DeltaABC a + c = 2b , then the value of cot""(A)/(2) * cot""(...

    Text Solution

    |

  12. A flag- staff 6 metre high is placed on the top of a tower . The flag-...

    Text Solution

    |

  13. The equation ax + by + c =0 represents a straight line

    Text Solution

    |

  14. The equation of the line passing through (-1 , -2) and having a slope ...

    Text Solution

    |

  15. The angle between the lines x cos alpha + y sin alpha = a and x sin be...

    Text Solution

    |

  16. The co-ordinates of the centre and the radius of the circle x^(2) + y^...

    Text Solution

    |

  17. The equation x^(2) + y^(2) + 2gx + 2 fy + c = 0 represents a circle o...

    Text Solution

    |

  18. The length of the latus rectum of the ellipse 25x^(2) + 4y^(2) = 100 ,...

    Text Solution

    |

  19. The standard equation of the hyperbola having the distance between foc...

    Text Solution

    |

  20. Find the eccentricity of the elipse ( x^(2))/( 16)+ ( y^(2) )/( 9) =1

    Text Solution

    |