Home
Class 12
MATHS
The shortest distance between the lines ...

The shortest distance between the lines `(x+2)/1=y/-2=(z-5)/2 and (x-4)/1=(y-1)/2=(z-3)/0` is

A

7

B

8

C

6

D

9

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos
  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

The shortest distance between the lines (x-2)/3=(y-3)/4=(z-6)/5 and (x-5)/1=(y-2)/1=(z-1)/2 is (A) 3 (B) 2 (C) 1 (D) 0

Find the shortest distance between the lines (x)/2=(y-2)/3=(z-4)/3 and (x-1)/3=(y-2)/7=(z-3)/8

Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(-2)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

Find the shortest distance between the lines (x-1)/2=(y-2)/4=(z-3)/7 and (x-1)/4=(y-2)/5=(z-3)/7

Equation of the line of the shortest distance between the lines (x)/(1)=(y)/(-1)=(z)/(1) and (x-1)/(0)=(y+1)/(-2)=(z)/(1) is:

Find the shortest distance between the lines (x-2)/(-1)=(y-5)/2=(z-0)/3\ a n d\ (x-0)/2=(y+1)/(-1)=(z-1)/2dot

The shortest distance between the lines (x-2)/(2)=(y-3)/(2)=(z-0)/(1) and (x+4)/(-1)=(y-7)/(8)=(z-5)/(4) lies in the interval

The shortest distance between the lines (x-2)/(3)=(y+3)/(4)=(z-1)/(5) and (x-5)/(1)=(y-1)/(2)=(z-6)/(3) , is

Find the length of the shortest distance between the lines (x-1)/2(y-4)/3=(z+1)/(-3) and (x-4)/1=(y-3)/3=(z-2)/2

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. Let f be a differentiable function such that x^2 f(x) -x=4 int0^x tf(t...

    Text Solution

    |

  2. If A is a 3xx3 matrix and abs(A)=2, then abs(3 adj(abs(3A)A^2) is equa...

    Text Solution

    |

  3. The shortest distance between the lines (x+2)/1=y/-2=(z-5)/2 and (x-4)...

    Text Solution

    |

  4. Let two vertices of a triangle ABC be (2, 4, 6) and (0,-2, -5), and it...

    Text Solution

    |

  5. Let the first term alpha and the common ratio r of a geometric progres...

    Text Solution

    |

  6. Let the complex number z =x +iy be such that (2z-3i)/(2z+i) is purely ...

    Text Solution

    |

  7. Let O be the origin and the position vector of the point P be -hati-2h...

    Text Solution

    |

  8. The negation of the statement (pvvq) wedge (qvv(~r)) is

    Text Solution

    |

  9. An are PQ of a circle subtends a right angle at its centre O. The mid ...

    Text Solution

    |

  10. If I(x)=int e^(sin^2 x) (cosx sin2x-sinx)dx and I(0)=1, then I(pi/3) i...

    Text Solution

    |

  11. If the coefficient of x^7 in (ax-1/(bx^2))^13 and the coefficient of x...

    Text Solution

    |

  12. Let the ellipse E: x^2 + 9y^2 = 9 intersect the positive x- and y-axes...

    Text Solution

    |

  13. The slope of tangent at any point (x, y) on a curve y= y(x) is ,(x^2+y...

    Text Solution

    |

  14. A square piece of tin of side 30 cm is to be made into a box without t...

    Text Solution

    |

  15. If f(x)=((tan 1^@)x+loge(123))/(xloge(1234-(tan 1^@))) , x gt0, then t...

    Text Solution

    |

  16. Let N denote the sum of the numbers obtained when two dice are rolled....

    Text Solution

    |

  17. For the system of linear equations 2x -y+3z=5 3x+2y-z=7 4x +5y+alphaz=...

    Text Solution

    |

  18. The number of permutations, of the digits 1, 2, 3, ..., 7 without repe...

    Text Solution

    |

  19. The number of elements in the set {n in Z:abs(n^2-10n+19) lt 6)} is

    Text Solution

    |

  20. Let y= p(x) be the parabola passing through the points (-1, 0), (0, 1)...

    Text Solution

    |