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)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 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

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. A unit vector parallel to the intersection of the planes vec r. \ (...

    Text Solution

    |

  2. Let L1 be the line vec r1=2 hat i+ hat j- hat k+lambda(hat i+2 hat k)...

    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 Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-l...

    Text Solution

    |

  5. Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda...

    Text Solution

    |

  6. The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambd...

    Text Solution

    |

  7. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  8. Statement 1: there exists a unique sphere which passes through the ...

    Text Solution

    |

  9. Statement 1: There exist two points on the (x-1)/1=y/(-1)=(z+2)/2 w...

    Text Solution

    |

  10. Statement 1: The shortest distance between the lines x/(-3)=(y-1)/1=(z...

    Text Solution

    |

  11. Find the number of sphere of radius r touching the coordinate axes...

    Text Solution

    |

  12. Find the distance of the z-axis from the image of the point M(2-3,3...

    Text Solution

    |

  13. A line with direction cosines proportional to 1,-5, a n d-2 meets li...

    Text Solution

    |

  14. If the planes vec rdot( hat i+ hat j+ hat k)=q1, vec rdot( hat i+2a h...

    Text Solution

    |

  15. The equation of a line passing through the point vec a parallel to ...

    Text Solution

    |

  16. A straight line L on the xy-plane bisects the angle between O Xa n dO ...

    Text Solution

    |

  17. Statement 1: Vector vec c=5 hat i+7 hat j+2 hat k is along the bisect...

    Text Solution

    |

  18. The equation of the line x+y+z-1=0, 4x+y-2z+2=0 written in the symmetr...

    Text Solution

    |

  19. The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n...

    Text Solution

    |

  20. Statement 1: Lines vec r= hat i+ hat j- hat k+lambda(3 hat i- hat j)a...

    Text Solution

    |