Home
Class 12
MATHS
Using vectors, find the value of x such ...

Using vectors, find the value of x such that the four points A(x,5,-1), B(3,2,1), C(4,5,5) and D(4,2,-2) are coplanar.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

Similar Questions

Explore conceptually related problems

Find x such that the four points A\ (3,\ 2,\ 1) , B(4, x ,\ 5) , C\ (4,\ 2,\ 2) and D\ (6,\ 5,\ 1) are coplanar

Show that the points A(-1,\ 4,\ -3),\ B(3,\ 2,\ -5),\ C(-3,\ 8,\ -5)a n d\ D(-3,\ 2,\ 1) are coplanar.

Plot the points A(4,2),B(-5,3),C(-4,-5) and D(5,-2) .

Using vectors, find the area of the triangle with vertices A(1,1,2),\ B(2,3,5)a n d\ C(1,5,5)

Using vectors, find the area of the triangle with vertices A(1,1,2),\ B(2,3,5)a n d\ C(1,5,5)

Using vectors, find the area of the triangle with vertices A(1,1,2),\ B(2,3,5)a n d\ C(1,5,5)

Find the value of lambda . If the points A(-1,3,2), B(-4,2,-2) and C(5,lambda,10) are collinear.

Find the value of x for which the points (x-1),\ (2,1)a n d\ (4,5)\ are collinear.

Using vectors, find the area of the DeltaABC with vertices A(1, 2, 3), B(2, -1, 4) and C(4, 5, -1)

Using vectors, find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) and C (1, 5, 5).

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Using vectors, prove that the points (2,-1,3) ,(3,-5,1) and (-1,11,9) ...

    Text Solution

    |

  2. Obtain the inverse of the following matrix, using elementary operation...

    Text Solution

    |

  3. Using vectors, find the value of x such that the four points A(x,5,-1)...

    Text Solution

    |

  4. For any two vectors vec a and vec b , prove that (vec a xx vec b )^2=...

    Text Solution

    |

  5. Find the co-ordinates of the point, where the line ((x+2)/1)=((y-5)/3)...

    Text Solution

    |

  6. Using matrices solve the following system of linear equations: {(2x+3y...

    Text Solution

    |

  7. Find int ((x-1)/ ((x-2)(x-3))) dx

    Text Solution

    |

  8. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)), |x|<1/sqrt3 w.r.t tan^(-1)(...

    Text Solution

    |

  9. Evaluate: int(e^x)/(sqrt(5-4e^x-e^(2x))) dx

    Text Solution

    |

  10. Find the differential equation representing the family of curves y=-Ac...

    Text Solution

    |

  11. If sqrt(1-x^2) + sqrt(1-y^2) = a(x-y), show dy/dx = sqrt((1-y^2)/(1-x^...

    Text Solution

    |

  12. Find the area of the region {(x, y) : y^2 <=6ax and x^2+y^2<=16a^2} ...

    Text Solution

    |

  13. Find the differential of the function cos^(-1) (sin 2x) w.r.tx.

    Text Solution

    |

  14. Find int e^x((2+sin 2x)/(2 cos^2x)) dx

    Text Solution

    |

  15. Using integration, find the area of the region bounded by the lines...

    Text Solution

    |

  16. Prove that the relation R in the set A={1,2,3,4,5,6,7} given by R={(a,...

    Text Solution

    |

  17. If A and B are independent events with P(A)=3/7 and P(B)=2/5 then fin...

    Text Solution

    |

  18. Show that the function f in A = R - {2/3} defined as f(x) = (4x+3)/(6x...

    Text Solution

    |

  19. A company manufactures two types of novelty souvenirs made of plywo...

    Text Solution

    |

  20. A card from a pack of 52 cards is lost. From the remaining cards of...

    Text Solution

    |