Home
Class 12
MATHS
Let two vertices of a triangle ABC be (2...

Let two vertices of a triangle ABC be `(2, 4, 6) and (0,-2, -5)`, and its centroid be `(2, 1, -1)`. If the image of the third vertex in the plane `x+2y+4z=11` is `(alpha,beta,gamma)`, then `(alpha beta,beta gamma,gamma alpha)` is equal to

A

70

B

72

C

76

D

74

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

Mirror image of point (1,3,5) w.r.t plane 4x-5y+2z=8 is (alpha,beta,gamma) then 5(alpha+beta+gamma)

If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 The value of |{:(alpha, beta ,gamma),(gamma,alpha ,beta),(beta,gamma ,alpha):}| is equal to

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If alpha ,beta ,gamma are roots of x^(3)+x^(2)-5x-1=0 then [alpha] + [beta] +[ gamma ] is equal to

If alpha,beta,gamma are the roots of x^(3)+2x^(2)+3x+8=0 then (alpha+beta)(beta+gamma)(gamma+alpha)=

If alpha,beta,gamma are the roots of the equation 2x^(3)-5x^(2)+3x-1=0, then (1)/(alpha beta)+(1)/(beta gamma)+(1)/(gamma alpha) is

If the centroid of a triangle with vertices (alpha, 1, 3), (-2, beta, -5) and (4, 7, gamma) is the origin then alpha beta gamma is equal to …..........

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. If A is a 3xx3 matrix and abs(A)=2, then abs(3 adj(abs(3A)A^2) is equa...

    Text Solution

    |

  2. The shortest distance between the lines (x+2)/1=y/-2=(z-5)/2 and (x-4)...

    Text Solution

    |

  3. Let two vertices of a triangle ABC be (2, 4, 6) and (0,-2, -5), and it...

    Text Solution

    |

  4. Let the first term alpha and the common ratio r of a geometric progres...

    Text Solution

    |

  5. Let the complex number z =x +iy be such that (2z-3i)/(2z+i) is purely ...

    Text Solution

    |

  6. Let O be the origin and the position vector of the point P be -hati-2h...

    Text Solution

    |

  7. The negation of the statement (pvvq) wedge (qvv(~r)) is

    Text Solution

    |

  8. An are PQ of a circle subtends a right angle at its centre O. The mid ...

    Text Solution

    |

  9. If I(x)=int e^(sin^2 x) (cosx sin2x-sinx)dx and I(0)=1, then I(pi/3) i...

    Text Solution

    |

  10. If the coefficient of x^7 in (ax-1/(bx^2))^13 and the coefficient of x...

    Text Solution

    |

  11. Let the ellipse E: x^2 + 9y^2 = 9 intersect the positive x- and y-axes...

    Text Solution

    |

  12. The slope of tangent at any point (x, y) on a curve y= y(x) is ,(x^2+y...

    Text Solution

    |

  13. A square piece of tin of side 30 cm is to be made into a box without t...

    Text Solution

    |

  14. If f(x)=((tan 1^@)x+loge(123))/(xloge(1234-(tan 1^@))) , x gt0, then t...

    Text Solution

    |

  15. Let N denote the sum of the numbers obtained when two dice are rolled....

    Text Solution

    |

  16. For the system of linear equations 2x -y+3z=5 3x+2y-z=7 4x +5y+alphaz=...

    Text Solution

    |

  17. The number of permutations, of the digits 1, 2, 3, ..., 7 without repe...

    Text Solution

    |

  18. The number of elements in the set {n in Z:abs(n^2-10n+19) lt 6)} is

    Text Solution

    |

  19. Let y= p(x) be the parabola passing through the points (-1, 0), (0, 1)...

    Text Solution

    |

  20. Some couples participated in a mixed doubles badminton tournament. If ...

    Text Solution

    |