Home
Class 12
MATHS
बिंदु (1,2,-4) से जाने वाली और दोनों ...

बिंदु `(1,2,-4)` से जाने वाली और दोनों रेखाओ `(x-8)/(3)=(y+19)/(-16)=(z-10)/(7) ` और`(x-15)/(3)=(y-29)/(8)=(z-5)/(-5)`पर लंब रेखा का सदिश समीकरण ज्ञात कीजिए l

A

`(x-1)/2=(y-2)/3=(z+4)/6`

B

`(x-1)/(-2)=(y-2)/3=(z+4)/8`

C

`(x-1)/3=(y-2)/2=(z+4)/8`

D

`(x+1)/(-3)=(y+2)/(-2)=(z-4)/8`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D COMPREHENSION I|3 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - A|90 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance between the lines given by (x-8)/(3)=(y+9)/(-1)=(z-10)/(7)and(x-1)/(3)=(y-2)/(8)=(z-5)/(-5)

Find the vector equation of the line passing through the point (1,2,-4) and perpendicular to the two lines: (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5)

Find the vector equation of line passing through the point (1,2,-4) and perpendicular to the two lines: (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5)

(x)/(4)=(y)/(3)=(z)/(2),7x+8y+5z=62

Find the Vector and Cartesian equations of the line passing through the point (1,2,4) and perpendicular to the two lines (x-8)/(3)=(y+19)/(-16)=(z-10)/(7) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5)

(i) Find the vector and cartesian equation of the line passing through the point (1,2,-4) and perpendicular to the two lines : (x - 8)/(3) = (y + 19)/(-16) = (z - 10)/(7) and (x - 15)/(3) = (y - 19)/(8) = (z - 5)/(-5) . (ii) Find the vector and cartesian equations of the line passing through the point (2,1,3) and perpendicular to the lines : (x -1)/(1) = (y -2)/(2) = (z - 3)/(3) and (x)/(-3) = (y)/(2) = (z)/(5) .

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - B
  1. The distance of the point P(a,b,c) from the x-axis is

    Text Solution

    |

  2. The equation of a line passing through (a, b, c) and parallel tp z-...

    Text Solution

    |

  3. बिंदु (1,2,-4) से जाने वाली और दोनों रेखाओ (x-8)/(3)=(y+19)/(-16)...

    Text Solution

    |

  4. A line with directional cosines prontional to 2, 1,2 meets each of the...

    Text Solution

    |

  5. Let veca = hati +hatj and vecb = 2hati - hatk then the point of inte...

    Text Solution

    |

  6. The line vecr=alpha(hati+hatj+hatk)+3hatk and vecr=beta(hati-2hatj+hat...

    Text Solution

    |

  7. If P be the point (2,6, 3) then the equation of the plane through P, a...

    Text Solution

    |

  8. P is a point (a, b, c). Let A, B, C be images of Pin y-z, z-x and x-y ...

    Text Solution

    |

  9. Find ten equation of the plane passing through the point (0,7,-7) and ...

    Text Solution

    |

  10. The equation of the plane which passes through the points (2, 1, -1)...

    Text Solution

    |

  11. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

    Text Solution

    |

  12. Length of the perpendicular from origin to the plane passing through...

    Text Solution

    |

  13. If the plane x- 3y +5z= d passes through the point (1, 2, 4), then the...

    Text Solution

    |

  14. The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B,...

    Text Solution

    |

  15. The position vectors of points A and B are hati - hatj + 3hatk and 3h...

    Text Solution

    |

  16. Find the vector equation to the plane through the point (2,1,-1) pass...

    Text Solution

    |

  17. बिंदु (1,2,-4) से जाने वाली और दोनों रेखाओ (x-8)/(3)=(y+19)/(-16)...

    Text Solution

    |

  18. The line x + 2y - z - 3 = 0 = x + 3y - 2 - 4 is parallel to

    Text Solution

    |

  19. The shortest distance between the lines 2x + y + z - 1 = 0 = 3x + y + ...

    Text Solution

    |

  20. The lines x + y + z - 3 = 0 = 2x - y + 5z - 6 and x - y - z + 1 = 0 = ...

    Text Solution

    |