Home
Class 12
MATHS
Consider the system of equations x-2y+3z...

Consider the system of equations `x-2y+3z=1;-x+y-2z=; x-3y+4z=1.` Statement 1: The system of equations has no solution for `k!=3.` Statement2: The determinant `|1 3-1-1-2k1 4 1|!=0,\ for\ k!=3.` Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true

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

Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 Statement -1 The system of equation has no solutions for k ne 3 . statement -2 The determinant |{:(1,3,-1),(-1,-2,k),(1,4,1):}| ne0, "for"" " kne3.

Statement-1: p-Nitroaniline is more polar than nitrobenzene and Statement-2: Nitro group has -M effect. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 (b) Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true

Statement-1: In naphthalene all C-C bonds are equal and Statement-2: Like benzene naphthalene is also aromatic. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 (b) Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true

Statement-1 : lim_(x to 0) (sqrt(1 - cos 2x))/(x) at (x = 0) does not exist. Statement -2 :Right hand limit != Left hand limit i) Statement - 1 is True, Statement-2 is True, Statement-2 is a correct explanation for statement-1 ii)Statement-1 is True, Statement-2 is True, Statement-2 is Not a correct explanation for statement-1 iii)Statement-1 is True, Statement-2 is False iv)Statement -1 is False, Statement-2 is True

Statement-1: Vinyl chloride is more reactive than ethylene. and Statement-2: Addition of HBr on vinyl chloride follows Markovnikoff's addition. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 (b) Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true

Statement -1 (1/2)^7lt(1/3)^4 implies 7log(1/2)lt4log(1/3)implies7lt4 Statement-2 If axltay , where alt0 ,x, ygt0 , then xgty . (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true.

Statement-1: intsin^-1xdx+intsin^-1sqrt(1-x^2)dx=pi/2x+c Statement-2: sin^-1x+cos^-1x=pi/2 (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Statement-1: The function F(x)=intsin^2xdx satisfies F(x+pi)=F(x),AAxinR ,Statement-2: sin^2(x+pi)=sin^2x (A) Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. (B) Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1. (C) Statement-1 is True, Statement-2 is False. (D) Statement-1 is False, Statement-2 is True.

Consider the function f(x)=|x-2|+|x-5|,x in R . Statement 1: f'(4)=0 Statement 2: f is continuous in [2, 5] , differentiable in (2, 5) and f(2) = f(5) . (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

Statement 1. If sin^-1 x=cos^-1 x, then x= 1/sqrt(2) , Statement 2. sin^-1 x+cos^-1 x= pi/2, 1lexlarr1 (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

ALLEN-DETERMINANTS-All Questions
  1. If D=|(1, 1, 1), (1, 1+x, 1), (1, 1, 1+y)| for x!=0, y!=0 then D is (...

    Text Solution

    |

  2. Let a, b, c be any real numbers. Suppose that there are real number...

    Text Solution

    |

  3. Let a,b,c be such that b(a+c) ne 0. If |{:(a,a+1,a-1),(-b,b+1,b-1)...

    Text Solution

    |

  4. Consider the system of linear equations; x-1\ +2x2+x3=3, 2x1+3x2+3=3, ...

    Text Solution

    |

  5. The number of value of k for which the linear equations 4x+k y+2z=0k x...

    Text Solution

    |

  6. If the trivial solution is the only solution of the system of equation...

    Text Solution

    |

  7. The number of values of k for which the system of equations (k+1)x+8y=...

    Text Solution

    |

  8. If a ,b ,c are sides of a scalene triangle, then value of |[a, b, c] ,...

    Text Solution

    |

  9. If the system of linear equations x1+2x2+3x3=6,\ x1+3x2+5x3=9,\ 2x2+5x...

    Text Solution

    |

  10. Assertion : The system of linear equations x+(sinalpha)y+(cosalpha)z=0...

    Text Solution

    |

  11. Consider the system of equations x+a y=0,\ y+a z=0.\ Then the set of ...

    Text Solution

    |

  12. if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...

    Text Solution

    |

  13. The set of all values of lamda for which the system of linear equation...

    Text Solution

    |

  14. The system of linear equations x+lambday -z=0 lambdax -y-z=0 ...

    Text Solution

    |

  15. The number of distinct real roots of the equation |{:(cosx, sinx, sinx...

    Text Solution

    |

  16. Test the consistency and solve them when consistent the following s...

    Text Solution

    |

  17. Let a ,b ,c be real numbers with a^2+b^2+c^2=1. Show that the eq...

    Text Solution

    |

  18. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  19. Consider the system of equations x-2y+3z=1;-x+y-2z=; x-3y+4z=1. State...

    Text Solution

    |

  20. Solve for theta for the equation 4cot2θ=cot ^2θ−tan ^2θ .

    Text Solution

    |