Home
Class 12
MATHS
A point at a distance of sqrt(6) from th...

A point at a distance of `sqrt(6)` from the origin which
lies on the straight line `(x-1)/1 = (y-2)/2=(z+1)/3` will be

A

(1, -1, 2)

B

(1, 2, -1)

C

`(5/7, 10/7, -6/7)`

D

`(5/7, 2/7, -6/7)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise TRY YOURSELF|97 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 co-ordinates of the point at a distance of sqrt(5) units from the point (1,2,3) on the line (x+2)/(3) = (y+1)/(2) = (z-3)/(2) .

Equation of a plane at a distance sqrt((2)/(21)) from the origin which contains the line of intersection of the planes x-y-z-1=0 and 2x+y-3z+4=0 , is

The length of the perpendicular (in units) from the point (1, 2, 4) on the straight line (x-2)/(1)=(y-7)/(2)=(z-3)/(-1) lies in the interval

Statement 1: A point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance 3sqrt(2) from the point (1,2,3) lies on the lne (x+7)/5=(y+t)/4=(z-2)/1 Statement 2: If d is the distance between the point (-1,-5,-10) and the point of intersectionof the line (x-2)/3=(y+1)/4=(z-2)/12 with the plane x-y+z=5 then d=13

For real numbers alpha and beta ne 0 , if the point of intersection of the straight lines ( x - alpha)/( 1) = ( y - 1)/( 2) = ( z -1)/( 3) and ( x - 4) / ( beta) = ( y - 6)/( 3) = ( z - 7)/(3) , lies on the plane x + 2y - z = 8 then alpha - beta is equal to

A straight line which make equal intercepts on +ve x and y axes and which is at a distance '1' unit from the origin intersects the straight line y=2x+3+sqrt2 at (x0,y0) then 2x0+y0 =

Find the distance of the point (1,-2,3) from the plane x-y+z=5 measured parallel to the line (x-1)/2=(y-3)/3=(z+2)/-6 .

The square of the distance of the point of intersection of the line and the plane (x-1)/(2)=(y-2)/(3)=(z+1)/(6) and the plane 2x-y+z=6 from the point (- 1, -1, 2) is_________

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. The line (x-4)/1=(y-2)/1=(z-k)/2 lies exactly on the plane 2x=4y+z=7 t...

    Text Solution

    |

  2. The angle between diagonal of a cube and diagonal of a face of the c...

    Text Solution

    |

  3. A point at a distance of sqrt(6) from the origin which lies on the s...

    Text Solution

    |

  4. The point where the line through A = (3, -2, 7) and B = (13, 3, -8) ...

    Text Solution

    |

  5. Find the equation of plane containing the line x+ y - z = 0 = 2x – y +...

    Text Solution

    |

  6. The equation of the plane passing through the intersection of x + 2y +...

    Text Solution

    |

  7. A unit vector normal to the plane through the points vecr, 2hatj and...

    Text Solution

    |

  8. The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...

    Text Solution

    |

  9. The two lines x=ay+b, z=cy+d and x= a' y+ b', z= c' y +d' will be perp...

    Text Solution

    |

  10. Find the acute angle between the two straight lines whose direction co...

    Text Solution

    |

  11. Find the coordinates of the foot of perpendicular drawn from th poi...

    Text Solution

    |

  12. एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण ...

    Text Solution

    |

  13. A unit vector perpendicular to the plane of veca = 2hati -6hatj -3hat...

    Text Solution

    |

  14. Find the angle between the lines whose direction cosines are given by ...

    Text Solution

    |

  15. If direction cosines of a line are (1/a, 1/a, 1/a) then

    Text Solution

    |

  16. The planes: 2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6are(A) Perpendic...

    Text Solution

    |

  17. Find the distance between the planes 2x+3y+4z=4 and 4+6y+8z=12.

    Text Solution

    |

  18. Find the equation of the plane passing through the point (-1, 3, 2)...

    Text Solution

    |

  19. The locus represented by xy + yz = 0 is

    Text Solution

    |

  20. Find the reflection of the point (alpha, beta, gamma) in the XY-plane,...

    Text Solution

    |