Home
Class 12
MATHS
The equation of the plane through the in...

The equation of the plane through the intersection of the planes `x+y+z=1` and `2x+3y-z+4=0` and parallel to X-axis is

A

`((5)/(3), -(1)/(3), 0)`

B

`(1, 1, 0)`

C

`((2)/(3), -(1)/(3), 0)`

D

`(-(5)/(3), (1)/(3), 0)`

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the plane passing through the line of intersection of the planes 2x+y-z=3 and 5x-3y+4z=9 and parallel to the lines (x-1)/(2)=(y-3)/(4)=(z-5)/(5)

Find the equation of the plane through the line of intersection of the planes: x+3y-z+1=0 and x+y-2z+3=0 and perpendicular to the plane 3x-y-2z-4=0

Find the equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y+4z=5 which is perpendicular to the plane x-y+z=0

Find the equation of the plane passing through the intersection of the planes x+y+z=6 and 2x+3y+4z+5=0 and the point (1,1,1)

Find the equation of the plane through the line of intersection of the planes 2x+3y-3z+1=0 and x+y-2z+3=0 and perpendicular to the plane 3x-y-2z-4=0 .

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. A plane passing through (1,1,1) cuts positive direction of coordinates...

    Text Solution

    |

  2. The equation of the line passing through (1, 1, 1) and perpendicular t...

    Text Solution

    |

  3. The equation of the plane through the intersection of the planes x+y+z...

    Text Solution

    |

  4. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  5. ABC is an isosceles triangle right angled at A. forces of magnitude 2s...

    Text Solution

    |

  6. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

    Text Solution

    |

  7. Find the angle between the pair of lines r=3hat(i)+2hat(j)-4hat(k)+l...

    Text Solution

    |

  8. Find the shortest distance between the lines given by the equations ve...

    Text Solution

    |

  9. Find the angle between the line r=hat(i)+2hat(j)-hat(k)+lambda(hat(i)-...

    Text Solution

    |

  10. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

    Text Solution

    |

  11. Find the equation of the plane with intercept 3 on the y-axis and para...

    Text Solution

    |

  12. If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be ...

    Text Solution

    |

  13. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

    Text Solution

    |

  14. What is 15% Equals to

    Text Solution

    |

  15. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

    Text Solution

    |

  16. Find the value of x Equation is x+7=6

    Text Solution

    |

  17. Let a,b,c are three vectors of which every pair is non-collinear, if t...

    Text Solution

    |

  18. Equations of the line which passe through the point with position vect...

    Text Solution

    |

  19. Which of the following pairs of linear equations are consistent ? Obta...

    Text Solution

    |

  20. A parallelopiped is formed by planes drawn through the points (1, 2, 3...

    Text Solution

    |