Home
Class 12
MATHS
There are three points (a,x) ,(b,y) and ...

There are three points (a,x) ,(b,y) and (c,z) such that the straight lines joining any two of them ar not equally inclined to the coordinate axes where a,b,c,x,y,z `in R` .
If `|{:(x+a,y+b,z+c),(y+b,z+c,x+a),(z+c,x+a,y+b):}|=0 and a+c =-b " ""then" " "x,-y/2`,z are in

A

A.P

B

G.P

C

H.P

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level -II|19 Videos

  • DETERMINANT

    FIITJEE|Exercise COMPREHENSIONS -I|3 Videos

  • DETERMINANT

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level -II|12 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

If the points A(x,y+z),B(y,z+x) and "C(z,x+y)" are such that AB=BC ,then x,y,z are in A .P

IF a,b,c are in G.P and a^(1/x)=b^(1/y)=c^(1/z) then x,y,z are in

If |[x+a, y+b, z+c] , [y+b, z+c, x+A] , [z+c, x+a, y+b]|=0 and a+c=-b then x,-y/2,z are in (A) A.P. (B) G.P. (C) H.P. (D) None of these

If a + x = b + y = c + z + 1 , where a, b,c,x,y,z are non polar distinct real numbers , then |(x, a+y,x + a),(y , b+y , y + b),(z,c+y, z+c)| is equal to :

FIITJEE-DETERMINANT-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. The sum of two non integral roots of |{:(x,2,5),(3,x,3),(5,4,x):}|=0 i...

    Text Solution

    |

  2. |[1,1,1] , [(2^x+2^(-x))^2, (3^x+3^(-x))^2, (5^x+5^(-x))^2] , [(2^x-2^...

    Text Solution

    |

  3. There are three points (a,x) ,(b,y) and (c,z) such that the straight l...

    Text Solution

    |

  4. If |{:(overset(n-2)underset(k=0)sum1,n(n-1),n^2),(overset(n)underset(k...

    Text Solution

    |

  5. Delta=|{:(1+a^2+a^4,1+ab+a^2b^2,1+ac+a^2c^2),(1+ab+a^2b^2,1+b^2+b^4,1+...

    Text Solution

    |

  6. If A(x1, y1), B (x2, y2) and C (x3, y3) are the vertices of a DeltaABC...

    Text Solution

    |

  7. The number of distinct real roots of |s in x cos x cos x cos x s in x ...

    Text Solution

    |

  8. If f(x) =("In"x)/x "then" |{:("In"x,x,0),(1//x,1,x),(-1//x^2,0,2):}| i...

    Text Solution

    |

  9. Statement 1: If the system of equation lambdax+(b-a)y+(c-a)z=0,(a-b)x+...

    Text Solution

    |

  10. If Ir^2+mr^2+nr^2=1 where r=1,2,3 and I1I2+m1m2+n1n2=0 …..etc. then ...

    Text Solution

    |

  11. If alpha is a root of x^4 = 1 with negative principal argument then th...

    Text Solution

    |

  12. If a, b gt 0 and Delta (x)|(x,a,a),(b,x,a),(b,b,x)|, then

    Text Solution

    |

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

    Text Solution

    |

  14. The value of f(pi/6) where f(theta)=|{:(cos^2theta,costhetasintheta,-s...

    Text Solution

    |

  15. The system of equation 102x-95y+88z=81,3x+10y+17z=24, 57x+50y+43z=36 h...

    Text Solution

    |

  16. IF ax^3+bx^2+cx+d=|(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), ...

    Text Solution

    |

  17. In a Delta ABC |[1,1,1],[1+sinA,1+sinB,1+sinC][sinA+sin^2A,sinB+sin^2B...

    Text Solution

    |

  18. If a,b,c are sides of a triangle and |(a^(2),b^(2),c^(2)),((a+1)^(2),(...

    Text Solution

    |

  19. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

    Text Solution

    |

  20. If D=|{:(2,1,[sin^2theta]),([sin^2theta],costheta,i),(i,1,sintheta):}|...

    Text Solution

    |