Home
Class 12
MATHS
Let the equation of the plane passing th...

Let the equation of the plane passing through the line `x – 2y – z– 5 = 0 = x + y + 3z – 5` and parallel to the line `x + y + 2z – 7 = 0 = 2x + 3y + z – 2` be `ax + by + cz = 65`. The the distance of the point (a, b, c) from the plane `2x + 2y – z +16 = 0` is _____ .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|14 Videos

Similar Questions

Explore conceptually related problems

find the equation of a plane passing through the points (2,-1,0) and (3,-4,5) and parallel to the line 2x=3y=4z

The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and parallel to the line x/1=y/2=z/3 is

Find the equations of the line passing through the point (1, -2, 3) and parallel to the planes : x - y + 2z = 5 and 3x + 2y - z = 6 .

The equation of a plane through the line of intersection of 2x+3y+z-1=0 and x+5y-2z+7=0 and parallel to the line y=0=z is

Find the equation of the plane through the intersection of the planes 3x-4y+5z=10 and 2x+2y-3z=4 and parallel to the line x=2y=3z

The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and parallel to the plane x+3y+6z=1 , is

The plane containing the line x - 2y + 3z + 2 = 0 = 2x + 3y - z + 1 and parallel to x/1 = y/1 = z/1 contains the point:

JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
  1. Let veca, vecb and vecc be three non zero vectors such that vec b.vec...

    Text Solution

    |

  2. The vertices a hyperbola H are (pm6, 0) and its eccentricity is sqrt5...

    Text Solution

    |

  3. Let the equation of the plane passing through the line x – 2y – z– 5 =...

    Text Solution

    |

  4. If the area enclosed by the parabola P1 : 2y = 5x^2 and P2 : x^2 – y +...

    Text Solution

    |

  5. For some a, b, c in N, let f(x) = ax – 3 and g(x) = x^b + c, x in R. I...

    Text Solution

    |

  6. If the sum of all the solution of tan^(-1)((2x)/(1-x^2))+cot^1((1-x^2...

    Text Solution

    |

  7. Let x and y be distinct integers where 1le x le25 and 1 =< y le 25. Th...

    Text Solution

    |

  8. Let A1, A2, A3 be the three A. P. with the common difference d and hav...

    Text Solution

    |

  9. Let S = {1, 2, 3, 5, 7, 10, 11}. The number of non-empty subsets of S ...

    Text Solution

    |

  10. The constant term in the expansion of (2x+1/x^7+3x^2)^5 is.

    Text Solution

    |

  11. Let S ={alpha:log2(9^(2alpha-4)+13)-log2(5/2.3^(2alpha-4)+1)=2}Then th...

    Text Solution

    |

  12. The integral 16int(1)^(2)(dx)/(x^(3)(x^(2)+2)^(2)) is equal to

    Text Solution

    |

  13. sum(k=0)^(6)"^(51-k)C(3) is equal to

    Text Solution

    |

  14. Let A,B,C be 3times3 matrices such that A is symmetric and B and C are...

    Text Solution

    |

  15. The number of functions f:{1,2,3,4}rarr{a in Z}|a|le8} satisfying f(n)...

    Text Solution

    |

  16. If the four points,whose position vectors are 3hati-4hat j+2hat k,hat ...

    Text Solution

    |

  17. Let f(x)=2x^(n)+lambda,lambda in R,n in N and f(4)=133,f(5)=255.Then t...

    Text Solution

    |

  18. Let Delta,nabla in{^^,vv} be such that (p rarr q)Delta(p nabla q) is a...

    Text Solution

    |

  19. The equations of two sides of a variable triangle are x=0 and y=3,and ...

    Text Solution

    |

  20. Let T and C respectively be the transverse and conjugate axes of the h...

    Text Solution

    |