Home
Class 12
MATHS
Consider the lines: L1:(x-2)/1=(y-1)/7=(...

Consider the lines: `L_1:(x-2)/1=(y-1)/7=(z+2)/-5, L_2:x-4=y+3=-z` Then which of the following is/are correct ? (A) Point of intersection of `L_1 and L_2 is (1,-6,3)`

A

Point of intersection of `L_(1) and L_(2)` is (1, -6, 3)

B

Equation of plane containing `L_(1) and L_(2)` is `x+2y+3z+2=0`

C

Acute angle between `L_(1) and L_(2)` is `cot^(-1)((13)/(15))`

D

Equation of plane containing `L_(1) and L_(2)` is `x+2y+2z+3=0`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|18 Videos
  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-4 : Matching Type Problems|3 Videos
  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|16 Videos
  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

Consider the lines: L_(1):(x-2)/(1)=(y-1)/(7)=(z+2)/(-5),L_(2):x-4=y+3= Then which of the following is/are correct? (A) Point of intersection of L_(1) and L_(2)is(1,-6,3)

Consider the lines, L_(1):x/2=y/(-3)=z/1 and L_(3):(x-2)/3=(y-1)/(-5)=(z+2)/2 , then the line along shortest distance can be, costituted by the line of intersection of planes

Consider the line L1=(x+1)/3=(y+2)/1=(z+1)/2 L2=(x-2)/1=(y+2)/2=(z-3)/3 The shortest distance between L_1 and L_2 is

Read the following passage and answer the questions. Consider the lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The unit vector perpendicualr to both L_(1) and L_(2) is

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The shortest distance between L_(1) and L_(2) is

Consider the line L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The shortest distance between L_(1) and L_(2) is

Consider the line L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The shortest distance between L_(1) and L_(2) is

VK JAISWAL-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-2 : One or More than One Answer is/are Correct
  1. If equation of three lines are : (x)/(1)=(y)/(2)=(z)/(3), (x)/(2)=...

    Text Solution

    |

  2. If veca=hati+6hatj+3hatk, vecb=3hati+2hatj+hatk and vec c=(alpha+1)hat...

    Text Solution

    |

  3. Consider the lines: L1:(x-2)/1=(y-1)/7=(z+2)/-5, L2:x-4=y+3=-z Then wh...

    Text Solution

    |

  4. Let hata, hatb and hatc be three unit vectors such that hata=hatb+(h...

    Text Solution

    |

  5. The value(s) of mu for which the straight lines vecr=3hati-2hatj-4hatk...

    Text Solution

    |

  6. If hati xx [ (veca-hatj) xxhati]+ hatj xx [(veca - hatk)xx hatj] +hatk...

    Text Solution

    |

  7. The value of expression [veca xx vecb" "vec c xx vecd" " vece xx vecf...

    Text Solution

    |

  8. If veca,vecb,vecc & vecd are position vector of point A,B,C and D resp...

    Text Solution

    |

  9. If OAB is a tetrahedron with edges and hatp, hatq, hatr are unit vect...

    Text Solution

    |

  10. Let hata and hatc are unit vectors and |vecb|=4. If the angle between...

    Text Solution

    |

  11. Consider the lines x=y=z and line 2x+y+z-1=0=3x+y+2z-2, then

    Text Solution

    |

  12. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

    Text Solution

    |

  13. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

    Text Solution

    |

  14. Let a be a real number and vec alpha = hati +2hatj, vec beta=2hati+a h...

    Text Solution

    |

  15. The volume of a right triangular prism ABCA1B1C1 is equal to 3. If the...

    Text Solution

    |

  16. If veca=x hati+y hatj+z hatk, vecb=y hati+z hatj+x hatk, and vec c=z ...

    Text Solution

    |

  17. If a line has a vector equation, vecr=2hati +6hatj+lambda(hati-3hatj) ...

    Text Solution

    |

  18. Let M,N, P and Q be the mid points of the edges AB, CD, AC and BD resp...

    Text Solution

    |

  19. The solution vectors vecr of the equation vecr xx hati=hatj+hatk and v...

    Text Solution

    |

  20. Which of the following statement(s) is/are incorrect ?

    Text Solution

    |