Home
Class 12
MATHS
Comprehension 1 Let x ,\ y ,\ z in...

Comprehension 1 Let `x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1z z^3z^4-1|` If `x!=y!=z\ &\ x ,\ y ,\ z` are in GP and `D=0,\ t h e n\ y\ ` is equal to- a.`1` b. `2` c.`4\ ` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    ALLEN|Exercise EX -JA|8 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1z z^3z^4-1| If x!=y!=z\ &\ x ,\ y ,\ z are in A.P. and D=o,\ t h e n\ 2x^2z+x^2z^2 is equal to a. 1 b. 2 c. 3\ d. none of these

If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx , y,z are in a. A.P. b. G.P. c. H.P. d. none of these

If x!=0,y!=0,z!=0 and |[1+x,1,1],[1+y,1+2y,1],[1+z,1+z,1+3z]|=0 , then x^(-1)+y^(-1)+z^(-1) is equal to a.1 b.-1 c.-3 d. none of these

If x ,y , and z are in G.P. and x+3,y+3 , and z+3 are in H.P., then y=2 b. y=3 c. y=1 d. y=0

If x, y, z are different and Delta=|xx^2 1+x^3y y^2 1+y^3z z^2 1+z^3|=0 , then

If x!=y!=za n d|[x,x^2, 1+x^3],[y ,y^2 ,1+y^3],[z, z^2, 1+z^3]|=0, then the value of x y z is a. 1 b. 2 c. -1 d. 2

Find x ,\ y ,\ z\ a n d\ t , if 3[x y z t]=[x6-1 2t]+[4x+y z+t3]

If |(x, x^2, x^3 +1), (y, y^2, y^3+1), (z, z^2, z^3+1)| = 0 and x ,y and z are not equal to any other, prove that, xyz = -1

If x,y,z are dinstinct and |[x,x^3,x^4-1],[y,y^3,y^4-1],[z,z^3,z^4-1]|=0 then prove that (xyz)(xy+yz+zx)=(x+y+z)

Given a=x//(y-z), b=y//(z-x), and c=z//(x-y),w h e r e .x , y and z are not all zero, then the value of a b+b c+c a is a. 0 b. 1 c. -1"" d. none of these

ALLEN-DETERMINANTS-All Questions
  1. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  2. Statement I: If a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z ...

    Text Solution

    |

  3. Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1...

    Text Solution

    |

  4. If A is an invertble matrix of order 2 then (det A ^-1) is equal to...

    Text Solution

    |

  5. Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1...

    Text Solution

    |

  6. consider the following system of equation alphax+y+z=m x=alphay+z=...

    Text Solution

    |

  7. Comprehension 2 Consider the system of linear equations alphax+y...

    Text Solution

    |

  8. Comprehension 2 Consider the system of linear equations alphax+y...

    Text Solution

    |

  9. For what values of p and q, the system of equations 2x+py+6z=8,x+2y+qz...

    Text Solution

    |

  10. The system of equations x+2y+3z=4 , 2x+3y+4z=5, 3x+4y+5z=6 h...

    Text Solution

    |

  11. Comprehension 3 x+y+3z=4 2x+p y+6z=8x+2y+q z=5 Values of p\ &\ q f...

    Text Solution

    |

  12. Without expanding the determinant prove that: |(0, p-q, p-r), (q-p,0, ...

    Text Solution

    |

  13. Evaluate ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ x y x+y ​ y x+y x ​ x+y x y ​ ...

    Text Solution

    |

  14. Let delta=|A x x^2 1 B y y^2 1 C z z^2 1|a n d1=|A B C x y z y z z xx ...

    Text Solution

    |

  15. Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0

    Text Solution

    |

  16. Prove that: |a^2+2a2a+1 1 2a+1a+2 1 3 3 1|=(a-1)^3 .

    Text Solution

    |

  17. Using properties of determinants, evaluate |[18, 40 ,89],[ 40 ,89, 198...

    Text Solution

    |

  18. Find the area of the triangle with vertices at the points: (-1 ,-8 ), ...

    Text Solution

    |

  19. By using properties of determinants. Show that: |1+a^2-b^2 2a b-2b2a b...

    Text Solution

    |

  20. Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2) .

    Text Solution

    |