Home
Class 12
MATHS
Let the plane P contain the line 2x+y-2z...

Let the plane P contain the line `2x+y-2z-3=0 = 5x-3y+42+9` and be parallel to the line `(x+2)/2=(3-y)/-4=(z-7)/5` . Then the distance of the point `A(8,-1,-19)` from the plane P measured parallel to the line `x/-3=(y-5)/4=(2-z)/-12` is equal to ______

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

Find the distance of the point (3,4,5) from the plane x+y+z=2 measured parallel to the line 2x=y=z

The distance of the point (1,-2,3) from the plane x-y+z-5=0 , measured parallel to the line x/2=y/3=(z-1)/-6 is equal to

Find the distance of the point (3,4,5) from the plane x+y+z=2 , measured parallel to the line 2x=y=z .

The distance of the point (1,-2,3) from the plane x-y+z=5 measured parallel to the line (x)/(2)=(y)/(3)=(z)/(-6), is

Find the distance of the point (1,-2,3) from the plane x-y+z=5 measured parallel to the line (x-1)/2=(y-3)/3=(z+2)/-6 .

The distance of point (1,-2,-3) from plane x-y+z=5 measured parallel to the line x/2=y/3=z/(-6) is

Find the distance of the point (2,3,4) from the plane 3x+2y+2z+5=0 measured parallel to the line (x+3)/3=(y-2)/6=z/2 .

The distance of the point (1,2,3) from the plane x+y+z=11 measured parallel to the line (x+1)/(1)=(y-12)/(-2)=(z-7)/(2) is

Find the distance of the point (1,0,-3) from plane x-y-z=9 measured parallel to the line (x-2)/2=(y+2)/2=(z-6)/(-6)

Find the distance of the point (0,-3,2) from the plane 3x+2y+2z+5=0 , measured parallel to the line (x+1)/3=(y+1)/2=z/3 .

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. If int(0)^(1) 1/((5+2x-2x^2)(1+e^(2-4x)))dx=1/alpha .loge((alpha+1)/be...

    Text Solution

    |

  2. A bag contains 6 white and 4 black balls. A die is rolled once and the...

    Text Solution

    |

  3. Let S be the set of all values of lamda, for which the shortest distan...

    Text Solution

    |

  4. Let the system of linear equations -x+2y-9z=7 -x+3y+7z=9 -2x+y+5z=8 -3...

    Text Solution

    |

  5. Let [x] denote the greatest integer function and f(x) =max {1+x+[x], 2...

    Text Solution

    |

  6. The number of real roots of the equation xabs(x) - 5abs(x + 2) +6=0,is

    Text Solution

    |

  7. Let the determinant of a square matrix A of order m be m-n, where m an...

    Text Solution

    |

  8. Negation of p wedge (q wedge ~(p wedge q))

    Text Solution

    |

  9. If (alpha, beta) is the orthocenter of the triangle ABC with vertices ...

    Text Solution

    |

  10. Let A2 and A2 be two arithmetic means and G1, G2, G3 be three geometri...

    Text Solution

    |

  11. Consider the triangles with vertices A(2,1), B(0, 0) and C(t, 4), t in...

    Text Solution

    |

  12. If the line x = y =z intersects the line xsinA+ysinB+zsinC-18=0=xsin2A...

    Text Solution

    |

  13. A person forgets his 4-digit ATM pin code. But he remembers that in th...

    Text Solution

    |

  14. Let f(x)=int (dx)/((3+4x^2)sqrt(4-3x^2)), abs(x) lt 2/sqrt3. If f(0)=0...

    Text Solution

    |

  15. If the sum of the series (1/2-1/3)+(1/2^2-1/(2.3)+1/3^2)+(1/2^3-1/(2^2...

    Text Solution

    |

  16. If the area bounded by the curve 2y^2 = 3x, lines x+y =3, y =0 and out...

    Text Solution

    |

  17. Let an ellipse with centre (1, 0) and latus rectum of length 1/2 have ...

    Text Solution

    |

  18. Let A= {1 2, 3,4] and R be a relation on the set A xx A defined by R= ...

    Text Solution

    |

  19. Let the plane P contain the line 2x+y-2z-3=0 = 5x-3y+42+9 and be paral...

    Text Solution

    |

  20. The number of elements in the set {n in NN:10 le n le 100 and 3^n -3 i...

    Text Solution

    |