Home
Class 12
MATHS
The distance of point A(-2,3,1) from the...

The distance of point `A(-2,3,1)` from the line `P Q` through `P(-3,5,2),` which makes equal angles with the axes is a. `2//sqrt(3)` b. `sqrt(14//3)` c. `16//sqrt(3)` d. `5//sqrt(3)`

A

`(2)/(sqrt3)`

B

`sqrt((14)/(3))`

C

`(16)/(sqrt3)`

D

`(5)/(sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-2|42 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos
  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola x^2-4y^2=1 is a. (sqrt(3))/2 b. (sqrt(5))/2 c. 2/(sqrt(3)) d. 2/(sqrt(5))

The eccentricity of the ellipse 4x^2+9y^2=36 is a. 1/(2sqrt(3)) b. 1/(sqrt(3)) c. (sqrt(5))/3 d. (sqrt(5))/6

The eccentricity of the ellipse 4x^2+9y^2=36 is a. 1/(2sqrt(3)) b. 1/(sqrt(3)) c. (sqrt(5))/3 d. (sqrt(5))/6

The rationalisation factor of sqrt(3) is (a) -sqrt(3) (b) 1/(sqrt(3)) (c) 2sqrt(3) (d) -2sqrt(3)

The distance of the point (1, 2, 3) from the plane x+y-z=5 measured along the straight line x=y=z is 5sqrt(3) (2) 10sqrt(3) (3) 3sqrt(10) 3sqrt(5) (5) 2sqrt(5)

The rationalisation factor of 2+sqrt(3) is (a) 2-sqrt(3) (b) sqrt(2)+3 (c) sqrt(2)-3 (d) sqrt(3)-2

If the extremities of the diagonal fo a square are (1,-2,3) and (2,-3,5), then the length of the side is sqrt(6) b. sqrt(3) c. sqrt(5) d. sqrt(7)

The perpendicular distance of the point P(3,3,4) from the x-axis is 3sqrt(2) b. 5 c. 3 d. 4

If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a. 1/sqrt(5) b. 2/sqrt(5) c. 3/sqrt(5) d. sqrt(5)/3

The eccentricity of ellipse, if the distance between the foci and L.R is same a. (sqrt(3))/2 b. 2/(sqrt(3)) c. 1/(sqrt(2)) d. (sqrt(5)-1)/2

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-1
  1. The symmetric form of the equation of the line x + y-z =3, 2x+3y+ z+4=...

    Text Solution

    |

  2. Which of the statement is true? The coordinate planes divide the line ...

    Text Solution

    |

  3. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

    Text Solution

    |

  4. The equation of the plane through the point (2,5,-3) perpendicular to...

    Text Solution

    |

  5. The equation of the plane passing through the points (3,2,-1) , (3,4,...

    Text Solution

    |

  6. The linee joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2...

    Text Solution

    |

  7. The equation of the plane through the point (0,-4,-6) and (-2,9,3) and...

    Text Solution

    |

  8. What are corrdinates of the point equidistant from the points (a,0,0),...

    Text Solution

    |

  9. The intercepts made on the axes by the plane the which bisects the ...

    Text Solution

    |

  10. The plane passing through the point (5,1,2) perpendicular to the line ...

    Text Solution

    |

  11. The lines (x+1)/(1)=(y-1)/(2)=(z-2)/(1),(x-1)/(2)=(y)/(1)=(z+1)/(4) ar...

    Text Solution

    |

  12. The coordinates of the centriod of triangle ABC where A,B,C are the p...

    Text Solution

    |

  13. What is the equation of the plane which passes through the z-axis and ...

    Text Solution

    |

  14. The lines which intersect the skew lines y=m x ,z=c ; y=-m x ,z=-c a...

    Text Solution

    |

  15. The plane 4x+7y+4z+81=0 is rotated through a right angle about its ...

    Text Solution

    |

  16. A plane meets the coordinates axes in A, B, C such that the centroid ...

    Text Solution

    |

  17. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |

  18. The equation of the line passing though the point (1,1,-1) and perpend...

    Text Solution

    |

  19. The equation of the plane through (2,3,4) and parallel to the plane x+...

    Text Solution

    |

  20. perpendicular distance of the origin from the plane which makes interc...

    Text Solution

    |