Home
Class 12
MATHS
L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2)...

`L_(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L_(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2)`
The lines `L_(1)` and `L_(2)` intersect at the point

A

(-3,2,1)

B

(2,1,-3)

C

(1,-3,2)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Exercise 4A|81 Videos
  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION|20 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

L_(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L_(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) The lines L_(1) and L_(2) are -

L_(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L_(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) Equation of plane containinng L_(1) and L_(2) is -

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

If the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z-0)/(1) intersect, then the coordinates of their point of intersection 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.

The equation of a plane which passes through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2) , and (x-3)/(1)=(y-1)/(2)=(z-2)/(3) and at greatest distance from point (0,0,0) is

Consider the lines L_1:(x-1)/2=y/(-1)=(z+3)/1,L_2:(x-4)/1=(y+3)/1=(z+3)/2 and the planes P_1:7x+y+2z=3,P_2:3x+5y-6z=4. Let a x+b y+c z=d be the equation of the plane passing through the point match Column I with Column II. Column I, Column II a= , p. 13 b= , q. -3 c= , r. 1 d= , s. -2

Slow that the lines (x-5)/(7)=(y+2)/(-5)=(z)/(1) and (x)/(1)=(y)/(2)=(z)/(3) are perpendicular to each other.

Show that the lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7) and x-2=(y-4)/(3)=(z-6)/(5) intersect and find their point of intersection.

If the lines (x-1)/(2) = (y +1)/(3) = (z-1)/(4) and (x-3)/(1) = (y - k)/(2) = (z)/(1) intersect, then k is equal to-

CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Sample Questions for Competitive Examination
  1. The symmetrical from of the lines x+y+z-1=0 and 4x+y-2z+2=0 are -

    Text Solution

    |

  2. The equation of line passing through the point vec(a) parallel to the ...

    Text Solution

    |

  3. The lines vec(r)=hat(i)+hat(j)-hat(k)+lamda(3hat(i)-hat(j)) and vec(r)...

    Text Solution

    |

  4. Consider the lines (x-5)/(3)=(y-7)/(-16)=(z-3)/(7) and (x-9)/(3)=(y-13...

    Text Solution

    |

  5. The distance of the point A(veca) from the line vec(r)=vec(b)+tvec(c)...

    Text Solution

    |

  6. If the length of the perpendicular drawn from (1,2,3) to the line (x-6...

    Text Solution

    |

  7. If the shortest distance between the lines (x-1)/(1)=(y-1)/(1)=(z-1)/(...

    Text Solution

    |

  8. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy xy=c^(...

    Text Solution

    |

  9. A line passing through the point (1,1,1) from a tiangle of area sqrt(6...

    Text Solution

    |

  10. The direction cosines of two lines satisfy the relations lamda(l+m)=n ...

    Text Solution

    |

  11. Each question in this section contains statements given in two columns...

    Text Solution

    |

  12. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

    Text Solution

    |

  13. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

    Text Solution

    |

  14. vec(a)=6hat(i)+7hat(j)+7hat(k),vec(b)=3hat(i)+2hat(j)-2hat(k),P(1,2,3)...

    Text Solution

    |

  15. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

    Text Solution

    |

  16. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

    Text Solution

    |

  17. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

    Text Solution

    |

  18. Statement - I: The point A (1,0,7) is the mirror image of the point B(...

    Text Solution

    |

  19. Statement - I : The lines vec(r)=hat(i)+hat(j)-hat(k)+S(3hat(i)-hat(j)...

    Text Solution

    |