Home
Class 12
MATHS
Find x and y if the point (x,-1,3), (3,y...

Find x and y if the point `(x,-1,3), (3,y,1) and (-1,11,9)` are collinear. Also, write down the vector equation of the line in which they lie. Further, find the point of intersection of this line and the plane `x+y+z+1=0`.

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER (1)

    PRADEEP PUBLICATION|Exercise EXERCISE|35 Videos
  • PROBABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|467 Videos

Similar Questions

Explore conceptually related problems

Find the values of x and y if the points (x,-1,3), (3,y,1) and (-1, 11,9) are collinear.

Find the point of intersection of the straight lines : x/3-y/4=0, x/2+y/3 =1 .

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x -7y + 5 = 0 and 3x + y = 0 .

Find the distance of the point (- 1, - 5, - 10) from the point of intersection of the line x-2/3=y+1/4=z-2/12 and the plane x-y+z=5

Find the equation of the line perpendicular to the line 2x+y -1 = 0 through the intersection of the lines x+2y -1= 0 and y=x.

Find the equation of the lines passing through the point of intersection of x+2y=5 and x-3y=7 and passing through : (1,0).

Find the distance of the point (-3 -4, -5) from the point of Intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane x - y + z=5.

Show that the lines (x+4)/3=(y+6)/5=(z-1)/-2 and 3x-2y+z+5=0=2x+3y+4z-4 intersect. Find the equation of the plane in which they lie and also their point of intersection.

PRADEEP PUBLICATION-MODEL PAPER (2)-EXERCISE
  1. If f(x)={((x-5)/(|x-5|)+a" , if "xlt5),(a+b" , if "x=5),((x-...

    Text Solution

    |

  2. Find the interval of increase and decrease of the function f(x)=log(1+...

    Text Solution

    |

  3. Prove that the curves x=y^2 and xy=k cut at right angles* if 8k^2 =1

    Text Solution

    |

  4. int (sin^-1x)/(1-x^2)^(3//2) dx

    Text Solution

    |

  5. Evaluate: underset0 oversetpi int sinxdx .

    Text Solution

    |

  6. Sketch the graph of the function: y=f(x)={(x, if, 0lexle1),(1/x, if, 1...

    Text Solution

    |

  7. Solve the differential equation (d^2y)/(dx^2)=x+sinx given that when x...

    Text Solution

    |

  8. There is a group of 50 people who are patriotic out of which 20 believ...

    Text Solution

    |

  9. With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)

    Text Solution

    |

  10. Experiments show that radium decomposes at a rate proportioanl to the ...

    Text Solution

    |

  11. The following matrix depicts the number of students of a school who we...

    Text Solution

    |

  12. The following matrix depicts the number of students of a school who we...

    Text Solution

    |

  13. The following matrix depicts the number of students of a school who we...

    Text Solution

    |

  14. A line with direction numbers <2,7,-5> is drawn to intersect the lines...

    Text Solution

    |

  15. Find x and y if the point (x,-1,3), (3,y,1) and (-1,11,9) are collinea...

    Text Solution

    |

  16. find the mean and variance of the probability distribution of the sum ...

    Text Solution

    |

  17. The given quantity of metal is to be cost into a half cylinder with a ...

    Text Solution

    |

  18. Compute (AB)^-1 where A = [(1,3,3),(1,4,3),(1,3,4)] and B^-1 = [(2,1,...

    Text Solution

    |

  19. Evaluate int(a)^(b)x^(2)dx as the limit of a sum.

    Text Solution

    |

  20. A diet for a sick person must contain atleast 4000 units of vitamin, 5...

    Text Solution

    |