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

The shortest distance between the lines `(x-3)/3=(y-8)/(-1)=(z-3)/1` and `(x+3)/(-3)=(y+7)/2=(z-6)/4` is

A

3

B

`3sqrt30`

C

`(7)/(2)sqrt30`

D

`2sqrt30`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|2 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|445 Videos

Similar Questions

Explore conceptually related problems

The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a n d(x+3)/(-3)=(y+7)/2=(z-6)/4 is a. sqrt(30) b. 2sqrt(30) c. 5sqrt(30) d. 3sqrt(30)

The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a n d(x+3)/(-3)=(y+7)/2=(z-6)/4 is a. sqrt(30) b. 2sqrt(30) c. 5sqrt(30) d. 3sqrt(30)

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

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

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

Find the shortest distance between the lines (x+1)/7=(y+1)/(-6)=(z+1)/1 and (x-3)/1=(y-5)/(-2)=(z-7)/1

Find the shortest distance between the lines (x+1)/7=(y+1)/(-6)=(z+1)/1 and (x-3)/1=(y-5)/(-2)=(z-7)/1

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

The shortest distance between the lines (x-1)/2= (y-1)/3=(z+2)/6and (x-2)/4=(y+1)/1=(z-3)/7

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAIN-MATHEMATICS
  1. Let f(x) = x cos^(-1)(-sin|x|), x in (-pi/2,pi/2)

    Text Solution

    |

  2. Let the line y=mx and the ellipse 2x^(2)+y^(2)=1 intersect at a point ...

    Text Solution

    |

  3. The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1 a...

    Text Solution

    |

  4. Which of the following is tautology

    Text Solution

    |

  5. Let P be a point on x^2 = 4y. The segment joining A (0,-1) and P is di...

    Text Solution

    |

  6. Mean and standard deviations of 10 observations are 20 and 2 respectiv...

    Text Solution

    |

  7. If volume of parallelopiped whose there coterminous edges are vec u = ...

    Text Solution

    |

  8. Let int (cos x dx)/((sin^3 x) (1 + sin^6 x)^(2/3)) = f(x)(1 + sin^6 x ...

    Text Solution

    |

  9. Roots of the equation x^2 + bx + 45 = 0, b in R lie on the curve |z + ...

    Text Solution

    |

  10. If y(x) is a solution of differential equation sqrt(1-x^2) dy/dx + sqr...

    Text Solution

    |

  11. lim(xrarr0) ((3x^2 + 2)/ (7x^2 +2))^(1/x^2) is equal to

    Text Solution

    |

  12. If maximum value of .^19 Cp is a, .^20 Cq is b, .^21 Cr is c, then rel...

    Text Solution

    |

  13. An urn contains 5 red marbels,4 black marbels and 3 white marbles. The...

    Text Solution

    |

  14. Find the sum, sum(k=1) ^(20) (1+2+3+.....+k)

    Text Solution

    |

  15. A is a 3 xx 3 matrix whose elements are from the set { -1, 0, 1}. Find...

    Text Solution

    |

  16. If normal at P on the curve y^2 - 3x^2 + y + 10 = 0 passes through the...

    Text Solution

    |

  17. The equation 2x^2 + (a - 10)x + 33/2 = 2a has real roots. Find least p...

    Text Solution

    |

  18. Value of cos^3 (pi/8)cos^3 ((3pi)/8) + sin^3 (pi/8)sin^3 ((3pi)/8) is

    Text Solution

    |

  19. The negation of 'sqrt5 is an integer or 5 is an irrational number' is

    Text Solution

    |

  20. Find the integration int dx /((x - 3)^(6/7)(x + 4)^(8/7)

    Text Solution

    |