Home
Class 12
MATHS
Equation of the plane E which contains t...

Equation of the plane E which contains the line `L : x = (y-3)/2 = (z-5)/3 ,` and is perpendicular to the plane , `E_(1): 2x + 7y - 3z = 1 ` is

A

`9x-3y-z =14`

B

`9x-3y+z=14`

C

`9x-3y-z+14=0`

D

`9x+3y+z=14`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

  • LINEAR PROGRAMMING PROBLEM [L.P.P] (OPTIMIZATION TECHNIQUES)

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

Similar Questions

Explore conceptually related problems

Equation of the plane containing the line (x+2)/5 = (y-3)/-1 = (z+1)/1 , and perpendicular to the plane barr.(i+j-k)=-3 is

Find the equation of the plane containing the line. : (x -1)/(2) = (y -2)/(-1) = (z - 3)/(4) and perpendicular to the plane x + 2y + z - 2 = 0 .

Find the equation of the plane containing the line: (x - 1)/(3) =(y + 2)/(1) = (z - 3)/(2) and perpendicular to the plane 2 x - y + 2z - 3 = 0.

Find the equation of plane containing the line (x-2)/(4)=(y-1)/(3)=(z+1)/(-2) aond perpendicular to the plane 2x-y+2z=11

Equation of the plane containing the line L_(1) : (x-1)/3 = (y+6)/4 = (z+1)/2 , parallel to the line L_(2) : (x-2)/2 = (y-1)/(-3)= (z+4)/5 , is 26 x - 11y - 17 z = p where : p =

Find the equation of the plane containing the straight line (x-1)/(2)=(y+2)/(-3)=(z)/(5) and perpendicular to the plane x-y+z+2=0

Find the equation of the plane that contains the point (1,-1,2) and is perpendicular to each of the planes 2x+3y-2z=5 and x+2y-3z=8

MARVEL PUBLICATION-LINE IN SPACE -MULTIPLE CHOICE QUESTIONS
  1. Equation of the plane containing the line L(1) : (x-1)/3 = (y+6)/...

    Text Solution

    |

  2. Prove that the lines 3x + 2y + z – 5 = 0 = x + y – 2z – 3 and 2x – y –...

    Text Solution

    |

  3. Equation of the plane E which contains the line L : x = (y-3)/2 = (z-5...

    Text Solution

    |

  4. Find the equation of the plane which contains two parallel to lines (x...

    Text Solution

    |

  5. Find ten equation of the plane passing through the point (0,7,-7) and ...

    Text Solution

    |

  6. Foot of the perpendicular drawn from the origin to the line x-2 = (y+3...

    Text Solution

    |

  7. Foot of the perpendicular drawn from the point (3,-1,11) to the x/2 = ...

    Text Solution

    |

  8. Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(...

    Text Solution

    |

  9. Show that the lines (x5)/4,(y-7)/4=(z+3)/(-5) and )x-8)/7=(y-4)/1=(z-5...

    Text Solution

    |

  10. Lines (x+1)/(-3) = (y-3)/2 = z+2 and x= (x-7)/(-3) = (z+7)/2 lie in ...

    Text Solution

    |

  11. Lines (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-3)/4 = (z-4)/5 lie ...

    Text Solution

    |

  12. A plane II makes intercept 3 and 4 respectively on x and z axes. If II...

    Text Solution

    |

  13. A vector vecr is equally inclined with the coordinates axes. If the ti...

    Text Solution

    |

  14. If the two lines (x-1)/(-3) = (y-2)/(2m) = (z-3)/2 and (x-1)/(3m) = (y...

    Text Solution

    |

  15. Find the two points on the line ( x - 2 ) / ( 1 ) = ( y + 3)...

    Text Solution

    |

  16. Equations of the line of intersection of the two planes y = b , z = c ...

    Text Solution

    |

  17. Find the coordinates of the points on the line (x +1)/(2) = (y - 2)/(3...

    Text Solution

    |

  18. Find the two points on the line ( x - 2 ) / ( 1 ) = ( y + 3)...

    Text Solution

    |

  19. Shortest distance between the lines bar (r ) (2i- j) + lambda (2i+j-3...

    Text Solution

    |

  20. Shortest distance between the lines bar (r ) = (1 , 2, 1 ) + lambda ...

    Text Solution

    |