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

The equation of the plane through the line of intersection of the planes `ax+by+cz+d=0anddx+b'y+c'z+d'=0` and parallel to the line `y=0andz=0` is

A

`(a'b-a'b)x+(bc'=bc')y+(ad'=a'd) z = 0`

B

`(a'b-a'b)x+(ad'=a'd) z = 0`

C

`(a'b-a'b)y+(ac'=a'c) z + (ad' - a'd)= 0`

D

`(a'b-a'b)x+(bc'=bc')y+(ad'=a'd) = 0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - C|14 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|97 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

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

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

The equation of the plane through the intersection of the plane a x+b y+c z+d=0\ a n d\ l x+m y+n+p=0 and parallel to the line y=0,\ z=0. (A) (b l-a m)y+(c l-a n)z+d l-a p=0 (B) (a m-b l)x+(m c-b n)z+m d-b p=0 (c) (n a-c l)d+(b n-c m)y+n d-c p=0 (D) None of these

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

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

Find the equation of the plane passing through the line of intersection of the planes 2x + y - Z = 3,5x - 3y + 4z + 9 = 0 and parallel to the line (x-1)/2=(y-3)/4=(z-5)/5

Find the equation of the plane through the line of 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 a line passing through the point of intersection of the lines x+3y+1=0 and 2x-y+3=0 and parallel to the line 3x-2y+1=0 .

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. Find the equation of line passing through (2, -1, 3) and equally incli...

    Text Solution

    |

  2. The lines (x-1)/1=(y-2)/2=(z-3)/(3) and (x-1)/1=y/3 =z/4 are

    Text Solution

    |

  3. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  4. Lines vecr = veca(1) + lambda vecb and vecr = veca(2) + svecb will lie...

    Text Solution

    |

  5. The equation of a plane through the point (2, 3, 1) and (4, -5, 3) a...

    Text Solution

    |

  6. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

    Text Solution

    |

  7. The angle between diagonal of a cube and diagonal of a face of the c...

    Text Solution

    |

  8. A point at a distance of sqrt(6) from the origin which lies on the s...

    Text Solution

    |

  9. The point where the line through A = (3, -2, 7) and B = (13, 3, -8) ...

    Text Solution

    |

  10. Find the equation of plane containing the line x+ y - z = 0 = 2x – y +...

    Text Solution

    |

  11. The equation of the plane passing through the intersection of x + 2y +...

    Text Solution

    |

  12. A unit vector normal to the plane through the points hati, 2hatj and...

    Text Solution

    |

  13. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

    Text Solution

    |

  14. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

    Text Solution

    |

  15. The angle between the line whose d.c.'s are connected by the relations...

    Text Solution

    |

  16. Find the coordinates of the foot of perpendicular drawn from th poi...

    Text Solution

    |

  17. एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण ...

    Text Solution

    |

  18. The number of unit vectors perpendicular to the plane of vectors veca=...

    Text Solution

    |

  19. The pair of lines whose direction cosines are given by the equations 3...

    Text Solution

    |

  20. If direction cosines of a line are (1/a, 1/a, 1/a) then

    Text Solution

    |