Home
Class 12
MATHS
Show that the lines (x+1)/(3)=(y+3)/(5)=...

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.

Text Solution

Verified by Experts

The correct Answer is:
`((1)/(2),-(1)/(2)-(3)/(4))`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 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

Show that the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z intersect. Find the point of intersection.

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 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-5)/(4)=(y-7)/(4)= (z+3)/(-5) and (x-8)/(7)=(y-4)/(1) = (z-5)/(3) . are coplanar

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

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

Prove that the stright line (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-3)/(4)=(z-4)/(5) are coplanar and find the equation of the plane in which they lie.

Consider the lines (x-5)/(3)=(y-7)/(-16)=(z-3)/(7) and (x-9)/(3)=(y-13)/(8)=(z-15)/(-5) , then-

Show that the line (x+3)/(4)=(y-5)/(-1)=(z+7)/(2) lies in the plane x-2y-3z-8=0 .

CHHAYA PUBLICATION-STRAIGHT LINE IN THREE DIMENSINAL SPACE -Exercise 4A
  1. Slow that the lines (x-5)/(7)=(y+2)/(-5)=(z)/(1) and (x)/(1)=(y)/(2)=(...

    Text Solution

    |

  2. If the coordinates of the points A,B,C,D be (1,2,3), (4,5,7), (-4,3,-6...

    Text Solution

    |

  3. Show that the lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7) and x-2=(y-4)/(3)=(z...

    Text Solution

    |

  4. Show that the lines (x-1)/(3)=(y+1)/(2)=(z-1)/(5) and (x+2)/(4)=(y-1)/...

    Text Solution

    |

  5. Show that the line through P(3,9,4) and Q(-4,4,4)) intersect the line ...

    Text Solution

    |

  6. Find whether the lines vec(r)=(2hat(i)+3hat(j)+hat(k))+t(5hat(j)-4hat(...

    Text Solution

    |

  7. Determine whether the following pair of lines intersect or not : (i)...

    Text Solution

    |

  8. The perpendicular distance of the points (1,0,0) from the y-axis is -

    Text Solution

    |

  9. The perpendicular distance of the point (1,1,0) from the z-axis is -

    Text Solution

    |

  10. The perpendicula distance of the points (1,1,1) from the x-axis is -

    Text Solution

    |

  11. The perpendicular distance of the point (1,2,3) from the x-axis is -

    Text Solution

    |

  12. Find the distance of the point (1,0,0) from the line (x-1)/(2)=(y+1)/(...

    Text Solution

    |

  13. A(1,0,4), B(0,-11,3), C(2,-3,1) are three points and D is the foot of ...

    Text Solution

    |

  14. Find the length of the perpendicular drawn from the point (5,4,-1) to ...

    Text Solution

    |

  15. Let l(1),m(1),n(1),l(2),m(2),n(2)" and "l(3),m(3),n(3) be the durectio...

    Text Solution

    |

  16. Find the equation of the perpendicular drawn from the point P(-1,3,2) ...

    Text Solution

    |

  17. Find the equation of the line passing through the points A(0,6,-9) and...

    Text Solution

    |

  18. The shortest distance between the lines vec(r)=vec(a)+tvec(b) and vec(...

    Text Solution

    |

  19. The shortest distance between the lines vec(r)=vec(a)(1)+tvec(b)(1) an...

    Text Solution

    |

  20. The condition for intersecting the lines vec(r)=vec(a)(1)+tvec(b)(1) a...

    Text Solution

    |