Home
Class 12
MATHS
Let A(m) be the minimum area of the tri...

Let `A_(m)` be the minimum area of the triagnle whose vertices are `A(-1,1,2), B (1,2,3)` and `C(t,1,1)` where t is a real number . Compute the value of `(1338 sqrt(3))(A_(min))`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 1|42 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -I)|21 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

If the area of the triangle whose vertices are A(-1,1,2), B(1,2,3) and C(t,1,1) is minimum, then the absolute value of parameter t is

Find the absolute value of parameter t for which the area of the triangle whose vertices the A(-1,1,2);B(1,2,3) and C(t,1,1) is minimum.

Let A = {a_(1), b_(1), c_(1)} , B = {r, t}. Find the number of relations from A to B.

If a_1,a_2 …. a_n are positive real numbers whose product is a fixed real number c, then the minimum value of 1+a_1 +a_2 +….. + a_(n-1) + a_n is :

If a_(1),a_(2),a_(3),...a_(n) are positive real numbers whose product is a fixed number c, then the minimum value of a_(1)+a_(2)+....+a_(n-1)+2a_(n) is

If log_(3)M=a_(1)+b_(1) and log_(5)M=a_(2)+b_(2) where a_(1),a_(2)in N and b_(1),b_(2)in[0,1) .if a_(1)a_(2)=6 then find the number of integral values of M.

MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
  1. Let A(m) be the minimum area of the triagnle whose vertices are A(...

    Text Solution

    |

  2. If the vectors veca,vecb,vecc form the sides BC,CA and AB respectively...

    Text Solution

    |

  3. Let the vectors veca, vecb,vecc and vecd be such that (vecaxxvecb)xx(v...

    Text Solution

    |

  4. If veca, vecb and vecc are unit coplanar vectors, then the scalar trip...

    Text Solution

    |

  5. If veca =hati + hatj-hatk, vecb = - hati = - hati + 2hatj + 2hatk and ...

    Text Solution

    |

  6. Given that vectors veca and vecb asre perpendicular to each other, fin...

    Text Solution

    |

  7. If veca, vecb and vecc are three unit vectors such that veca xx (vecb ...

    Text Solution

    |

  8. The diagonals of a parallelogram are given by vectors 2hati+3hatj-6hat...

    Text Solution

    |

  9. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

    Text Solution

    |

  10. Two vertices of a triangle are at -hati+3hatj and 2hati+5hatj and its ...

    Text Solution

    |

  11. If veca, vecb, vecc are unit vectors, then |veca-vecb|^2+|vecb-vec|^2+...

    Text Solution

    |

  12. Let veca=hati-hatk, vecb=xhati+hatj+(1-x)hatk and vecc=yhati+xhatj+(1+...

    Text Solution

    |

  13. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

    Text Solution

    |

  14. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

    Text Solution

    |

  15. Let vecV=2hati+hatj-hatk and vecW=hati+3hatk. It vecU is a unit vector...

    Text Solution

    |

  16. The value of a so that the volume of the paralelopiped formed by hati+...

    Text Solution

    |

  17. A unit vector int eh plane of the vectors 2hati+hatj+hatk, hati-hatj+h...

    Text Solution

    |

  18. If veca=veci+vecj+veck, veca.vecb=1 and vecaxxvecb=vecj-veck, then vec...

    Text Solution

    |

  19. If veca,vecb,vecc,vecd are four distinct vectors satisfying the condit...

    Text Solution

    |

  20. Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hathatj-h...

    Text Solution

    |

  21. Let vecA be a vector parallel to the of intersection of planes P1 and ...

    Text Solution

    |