Home
Class 12
MATHS
If |[a,b-c,c+b],[a+c,b,c-a],[a-b,a+b,c]|...

If `|[a,b-c,c+b],[a+c,b,c-a],[a-b,a+b,c]|=0` , then the line `a x+b y+c=0` posses through the fixed point which is

A

(1,2)

B

(1,1)

C

(-2,1)

D

(1,0)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|11 Videos
  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|21 Videos
  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|10 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a fixed point. write the coordinates of that point.

If 4a^2+c^2=b^2-4a c , then the variable line a x+b y+c=0 always passes through two fixed points. The coordinates of the fixed points can be (a) (-2,-1) (b) (2,-1) (c) (-2,1) (d) (2,1)

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are______

If a/sqrt(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family of lines sqrt(a)x+sqrt(b)y+sqrt(c)=0 passes though the fixed point given by (a) (1,1) (b) (1,-2) (c) (-1,2) (d) (-1,1)

If a/(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family of lines sqrt(a)x+sqrt(b)y+sqrt(c)=0 passes though the fixed point given by (a) (1,1) (b) (1,-2) (-1,2) (d) (-1,1)

If 3a + 2b + 6c = 0 the family of straight lines ax+by = c = 0 passes through a fixed point . Find the coordinates of fixed point .

If a ,b ,c are variables such that 3a+2b+4c=0 , then show that the family of lines givenby a x+b y+c=0 pass through a fixed point. Also, find that point.

Show that |[b-c,c-a, a-b],[ c-a, a-b,b-c],[ a-b,b-c,c-a]| = 0 .

If the parabola y=(a-b)x^2+(b-c)x+(c-a) touches x- axis then the line ax+by+c=0 (a) always passes through a fixed point (b) represents the family of parallel lines (c) is always perpendicular to x-axis (d) always has negative slope

ARIHANT MATHS ENGLISH-DETERMINANTS -Exercise (Single Option Correct Type Questions)
  1. If a, b, c are sides of a triangle and |(a^2,b^2,c^2),((a+1)^2,(b+1...

    Text Solution

    |

  2. Find dy/dx if x^2+xy+y^2=100

    Text Solution

    |

  3. If |[a,b-c,c+b],[a+c,b,c-a],[a-b,a+b,c]|=0 , then the line a x+b y+c=0...

    Text Solution

    |

  4. If f(x)=a+b x+c x^2 and alpha,beta,gamma are the roots of the equation...

    Text Solution

    |

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

    Text Solution

    |

  6. If [] denotes the greatest integer less than or equal to the real numb...

    Text Solution

    |

  7. The determinant |y^2-x y x^2a b c a ' b ' c '| is equal to |b x+a y c ...

    Text Solution

    |

  8. If A , B ,C are angles of a triangles, then the value of e^(2i A)e^(-i...

    Text Solution

    |

  9. If |[ x^n ,x^(n+2) ,x^(2n)],[1 ,x^a , a ],[x^(n+5),x^(a+6),x^(2n+5)]...

    Text Solution

    |

  10. If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...

    Text Solution

    |

  11. if a(1)b(1)c(1), a(2)b(2)c(2)" and " a(3)b(3)c(3) are three-digit ev...

    Text Solution

    |

  12. Expand | (4,8),(6,7)|

    Text Solution

    |

  13. If x(1),x(2) "and" y(1),y(2) are the roots of the equations 3x^(2) ...

    Text Solution

    |

  14. If |{:(.^(9)C(4),.^(9)C(5),.^(10)C(r)),(.^(10)C(6 ),.^(10)C(7),.^(11)C...

    Text Solution

    |

  15. If f(x), h(x) are polynomials of degree 4 and |(f(x), g(x),h(x)),(a, b...

    Text Solution

    |

  16. If f(x) =|{:(cos (x+alpha),cos(x+beta),cos(x+gamma)),(sin (x+alpha),si...

    Text Solution

    |

  17. if |{:(1,,1,,1),(a,,b,,c),(a^(3),,b^(3),,c^(3)):}|= (a-b)(b-c)(c-a)(a+...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. If a , b , c are non-zero real numbers and if the system of equations ...

    Text Solution

    |

  20. the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta...

    Text Solution

    |