Home
Class 12
MATHS
Consider the lines L1:(x-1)/2=y/(-1)=(z+...

Consider the lines `L_1:(x-1)/2=y/(-1)=(z+3)/1,L_2:(x-4)/1=(y+3)/1=(z+3)/2` and the planes `P_1:7x+y+2z=3,P_2:3x+5y-6z=4.` Let `a x+b y+c z=d` be the equation of the plane passing through the point match Column I with Column II. Column I, Column II `a=` , p. 13 `b=` , q. -3 `c=` , r. 1 `d=` , s. -2

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

The equation of the plane passing through the point (1,1,1) and perpendicular to the planes 2x+y-2z=5 and 3x-6y-2z=7

L_(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L_(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) The lines L_(1) and L_(2) are -

Find the equation of the plane passing through the line (x-1)/(5)=(y+2)/(6)=(z-3)/(4) and point (4, 3, 7) .

The lines (x-2)/1=(y-3)/1=(z-4)/-k and (x-1)/k=(y-4)/2=(z-5)/1 are coplaner if

Find the equation of the plane passing through the point (1,1,-1,) and prependicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0 .

Find the equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes x+2y+3z=5a n d3x+3y+z=0.

Show that the equation of the plane passing through the point (1,2,3) and parallel to the plane 3x+4y-5z=3 is given by 3x+4y-5z=-4 .

Find the equation of the plane passing through the intersection of the planes 2x+y+2z=9" and " 4x-5y-4z=1 and through the point (3,2,-1).

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

    Text Solution

    |

  2. Consider a set of point R in which is at a distance of 2 units from t...

    Text Solution

    |

  3. Consider the lines L1:(x-1)/2=y/(-1)=(z+3)/1,L2:(x-4)/1=(y+3)/1=(z+3)/...

    Text Solution

    |

  4. Statement 1: A plane passes through the point A(2,1,-3)dot If distan...

    Text Solution

    |

  5. Consider the following linear equations: a x+b y+c z=0 b x+c y+a z=0 c...

    Text Solution

    |

  6. If the distance between the plane Ax-2y+z=d. and the plane containing ...

    Text Solution

    |

  7. Prove that the volume of tetrahedron bounded by the planes vec rdo...

    Text Solution

    |

  8. If a variable plane forms a tetrahedron of constant volume 64k^3 with ...

    Text Solution

    |

  9. O A ,O Ba n dO C ,w i t hO as the origin, are three mutually perpen...

    Text Solution

    |

  10. Prove that for all values of lambda and mu , the planes (2x)/a+y/b+(...

    Text Solution

    |

  11. If P is any point on the plane l x+m y+n z=pa n dQ is a point on the l...

    Text Solution

    |

  12. find the equation of the plane with intercepts 2,3 and 4 on the x, y a...

    Text Solution

    |

  13. A variable plane l x+m y+n z=p(w h e r el ,m ,n are direction cosines ...

    Text Solution

    |

  14. If a line makes angles alpha,betaa n dgamma with three-dimensional c...

    Text Solution

    |

  15. A plane which is perpendicular to two planes 2x-2y+z=0 and x-y+2z = 4 ...

    Text Solution

    |

  16. Let x-ysin alpha-zsin beta=0,xsin alpha+zsin gamma-y=0 and xsin beta+y...

    Text Solution

    |

  17. The position vectors of the four angular points of a tetrahedron OABC ...

    Text Solution

    |

  18. Find the distance of the point (-2,3,-4) from the line ("x"+2)/3=(2"...

    Text Solution

    |

  19. The plane 4x+7y+4z+81=0 is rotated through a right angle about its ...

    Text Solution

    |

  20. If (a, b, c) is a point on the plane 3x + 2y + z = 7, then find the ...

    Text Solution

    |