Home
Class 12
MATHS
The equation of two straight lines are...

The equation of two straight lines are `(x-1)/2=(y+3)/1=(z-2)/(-3)a n d(x-2)/1=(y-1)/(3)=(z+3)/2dot` Statement 1: the given lines are coplanar. Statement 2: The equations `2r-s=1,r+3s=4a n d3r+2s=5` are consistent.

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 containing the lines (x-5)/4=(y-7)/4=(z+3)/(-5)a n d(x-8)/7=(y-4)/1=(z-5)/3dot

The lines (x)/(1)=(y)/(2)=(z)/(3) and (x-1)/(-2)=(y-2)/(-4)=(3-z)/(6) are

Show that the lines (x-1)/(3)=(y+1)/(2)=(z-1)/(5) and (x+2)/(4)=(y-1)/(3)=(z+1)/(-2) do not intersect.

If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect, then find the value of kdot

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

Find the distance between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x)/(2)=(y-5)/(3)=(z+1)/(4)

The angle between the lines (x+1)/(3)=(y-2)/(-2)=(z+4)/(1) and (x-3)/(1) =(2y-3)/(5)=(z-2)/(2) is -

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

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

If the straight lines (x-2)/(a)=(y+3)/(-4)=(z-2)/(3) and (x+2)/(3)=(y-1)/(2a)=(z+3)/(5) are perpendicular to each other, then the value of a is -

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Statement 1: Vector vec c=-5 hat i+7 hat j+2 hat k is along the bisec...

    Text Solution

    |

  2. The equation of the line x+y+z-1=0, 4x+y-2z+2=0 written in the symmetr...

    Text Solution

    |

  3. The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n...

    Text Solution

    |

  4. Statement 1: Lines vec r= hat i+ hat j- hat k+lambda(3 hat i- hat j)a...

    Text Solution

    |

  5. What is the equation of the plane which passes through the z-axis and ...

    Text Solution

    |

  6. Statement 1: let A( vec i+ vec j+ vec k)a n dB( vec i- vec j+ vec k) b...

    Text Solution

    |

  7. Statement 1: Let theta be the angle between the line (x-2)/2=(y-1)/(-3...

    Text Solution

    |

  8. If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,...

    Text Solution

    |

  9. A rod of length 2 units whose one ends is (1, 0, -1) and other end to...

    Text Solution

    |

  10. The equation of the plane which is equally inclined to the lines (x-...

    Text Solution

    |

  11. Which of the following lines lie on the plane x+2y-z+4=0? a. (x-1)...

    Text Solution

    |

  12. The equations of the plane which passes through (0,0,0) and which is...

    Text Solution

    |

  13. The x-y plane is rotated about its line of intersection with the y-...

    Text Solution

    |

  14. Consider the planes 3x-6y+2z+5=0a n d4x-12y+3z=3. The plane 67 x-162 y...

    Text Solution

    |

  15. A variable plane x/a+y/b+z/c=1 at a unit distance from origin cuts the...

    Text Solution

    |

  16. Let P=0 be the equation of a plane passing through the line of inte...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. A point P moves on a plane x/a+y/b+z/c=1. A plane through P and perpen...

    Text Solution

    |

  19. If x=c y+b z ,y=a z+c x ,z=bx+a y ,w h e r e .x ,y ,z are not all ze...

    Text Solution

    |

  20. Find the equation of the plane passing through the points (1,0,-1)a...

    Text Solution

    |