Home
Class 12
MATHS
Find the equation of the plane passing t...

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

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

Find the equation of the plane passing through 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 line passing through the intersection of (x-1)/2=(y-2)/(3)=(z-3)/4a n d(x-4)/5=(y-1)/2=zdot and also through the point (2,1,-2)dot

Find the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(z-3)/(4) on the plane x+2y+z=9 .

Find the equation of the plane passing through the point (4,1,1) and parallel to 3x-4y+7z+5 =0

Find the equation of the plane perpendicular to the line (x-1)/2=(y-3)/(-1)=(z-4)/2 and passing through the origin.

Let P be the image of the point (3, 1, 7) with respect to the plane x -y + z = 3 . Then, the equation of the plane passing through P and containing the straight line (x)/(1) = (y)/(2) = (z)/(1) is

Find the equation of the plane passing through the points (3,4,1) and (0,1,0) and parallel to the line (x+3)/(2)=(y-3)/(7)=(z-2)/(5) .

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

Find the equation of the plane passing through the points (1,1,2) and (2,4,3) and prependicular to the plane x-3y+7z=6 , convert the equation to vector from.

Find the equation of the line passing through the point (2,3) and bot to the straight line 4x-3y=10.

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the equation of the plane which passes through the point (1,2,...

    Text Solution

    |

  2. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

    Text Solution

    |

  3. Find the equation of the plane passing through the line (x-1)/(5)=(y+2...

    Text Solution

    |

  4. Find the equation of the plane perpendicular to the line (x-1)/2=(y...

    Text Solution

    |

  5. Find the equation of the plane passing through the straight line (x...

    Text Solution

    |

  6. Find the equation of the line drawn through the point (1, 0,2) to meet...

    Text Solution

    |

  7. If vecr=(hati+2hatj+3hatk)+lambda(hati-hatj+hatk) and vecr=(hati+2hatj...

    Text Solution

    |

  8. Find the coordinates of a point on the (x-1)/2=(y+1)/(-3)=z atg a d...

    Text Solution

    |

  9. Line L1 is parallel to vector vecalpha=-3 hat i+2 hat j+4 hat k and p...

    Text Solution

    |

  10. Find the values p so that line (1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)...

    Text Solution

    |

  11. Find the angel between the following pair of lines: vec r=2 hat i...

    Text Solution

    |

  12. Find the condition if lines x=a y+b ,z=c y+da n dx=a^(prime)y+b^(prime...

    Text Solution

    |

  13. Find the acute angle between the lines (x-1)/l=(y+1)/m=1/na n d=(x+...

    Text Solution

    |

  14. Find the length of the perpendicular drawn from point (2,3,4) to li...

    Text Solution

    |

  15. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |

  16. Find the vector equation of the line passing through (1,2,3) and par...

    Text Solution

    |

  17. The value of m for which the straight line 3x-2y+z+3 = 0=4x-3y+4z+1. i...

    Text Solution

    |

  18. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

    Text Solution

    |

  19. Find the equation of line x+y-z-3=0=2x+3y+z+4 in symmetric form. Find ...

    Text Solution

    |

  20. Find the vector equation of line passing through the point (1,2,-4)...

    Text Solution

    |