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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos

  • VECTOR OR CROSS PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|147 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

Find the equation of the plane which passes through the line of intersection of the planes a_1x+b_1y+c_1z+d_1=0 and a_2x+b_2y+c_2z+d_2=0 and which is parallel to the line (x-alpha)/l=(y-beta)/m=(z-gamma)/n

The equations of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0a n d x+y+z+4=0 is/are a. y=0 b. x=0 c. x+y=0 d. x+z=0

The equations of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0a n dx+y=z+4=0 is/are a. y=0 b. x=0 c. x+y=0 d. x+z=0

If the segment intercepted by the parabola y^2=4a x with the line l x+m y+n=0 subtends a right angle at the vertex, then 4a l+n=0 (b) 4a l+4a m+n=0 4a m+n=0 (d) a l+n=0

If the lines x+a y+a=0,\ b x+y+b=0\ a n d\ c x+c y+1=0 are concurrent, then write the value of 2a b c-a b-b c-c adot

In Figure, transversal l intersects two lines m\ a n d\ n , /_4=110^0\ a n d\ /_7=65^0 . Is m|| n ?

In Figure, if lines l\ a n d\ m are parallel, then x= (a) 20^0 (b) 45^0 (c) 65^0 (d) 85^0

In Figure, if lines l\ a n d\ m are parallel, then the value of x is (a) 35^0 (b) 55^0 (c) 65^0 (d) 75^0

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

    Text Solution

    |

  2. Find the length of the perpendicular drawn from the origin to the p...

    Text Solution

    |

  3. Write the vector equation of the line passing through the point (1, -2...

    Text Solution

    |

  4. Write the vector equation of the plane passing through the point (a, b...

    Text Solution

    |

  5. The acute angle between the planes 2x-y+z=6\ a n d\ x+y+2z=3 is 45^0\ ...

    Text Solution

    |

  6. The equation of the plane through the point of intersection of plane x...

    Text Solution

    |

  7. The distance between the planes 2x+2y-z+ 2=0\ a n d\ 4x+4y-2z+5=0 is a...

    Text Solution

    |

  8. The image of the point (1, 3, 4) in the plane 2x-y+z+3=0 is (3,\ 5,\ 2...

    Text Solution

    |

  9. Find the vector equation of the following plane in scalar product form...

    Text Solution

    |

  10. The distance of the line vec r=2 hat i-2 hat j+3 hat k+lambda( hat i-...

    Text Solution

    |

  11. The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and par...

    Text Solution

    |

  12. The vector equation of the plane containing the line vec r=(-2 hat ...

    Text Solution

    |

  13. A plane meets the coordinate axes at A ,\ B ,\ C such that the centroi...

    Text Solution

    |

  14. The distance between the point (3,4, 5) and the point where the line (...

    Text Solution

    |

  15. A vector parallel to the line of intersection of the planes vec r=dot...

    Text Solution

    |

  16. If plane passes through the point (1, 1,1) and is perpendicular to the...

    Text Solution

    |

  17. The equation of the plane parallel to the lines x-1=2y-5=2z and 3x = 4...

    Text Solution

    |

  18. The distance of the point (-1, -5, -10) from the point of intersection...

    Text Solution

    |

  19. The equation of the plane through the intersection of the plane a x+b ...

    Text Solution

    |

  20. The equation of the plane which cuts equal intersects of unit length o...

    Text Solution

    |