Home
Class 12
MATHS
Find the angle between the pair of lines...

Find the angle between the pair of lines
` (x -1 )/(4) = ( y - 3)/(1) = (z) /(8) ` and `(x - 2)/(2) = ( y + 1) /(2) = (z - 4)/(1). `

A

`cos^(-1)(14/27)`

B

`cos^(-1)(-14/27)`

C

`cos^(-1) (2/3)`

D

`cos^(-1) (-2/3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos
  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the following pair of lines (x-2)/(2) = (y - 1)/(7) = (z + 3)/(-3) and (x -2)/(-1) = (2y-8)/(4) = (z+5)/(4) and check whether the lines are parallel or perpendicular .

Find the angle between the following pair of lines , (i) (x - 2)/(2) = (y + 3)/(5) = (z + 3)/(-3) and (x + 2)/(-1) = (y - 4)/(8) = (z - 5 )/(4) (ii) (x)/(2) = (y)/(2) = (z)/(1) and (x -5)/(4) = (y - 2)/(1) = (z -3)/(8) .

Find the angle between the pair of lines (x-1)/2=(y-3)/4=(z+2)/6 and (x+1)/1=(y-2)/1=(z-3)/4

Find the acute angle between the lines (x-1)/(1)= (y-2)/(-1) =(z-3)/(2)and ( x-1)/(2) = (y-1)/(1) = (z-3)/(1)

Find the angles between the pair of lines given by x/2=y/2=z/1, (x-5)/4=(y-2)/1=(z-3)/8

Find the S.D. between the lines : (i) (x)/(2) = (y)/(-3) = (z)/(1) and (x -2)/(3) = (y - 1)/(-5) = (z + 4)/(2) (ii) (x -1)/(2) = (y - 2)/(3) = (z - 3)/(2) and (x + 1)/(3) = (y - 1)/(2) = (z - 1)/(5) (iii) (x + 1)/(7) = (y + 1)/(-6) = (z + 1)/(1) and (x -3)/(1) = (y -5)/(-2) = (z - 7)/(1) (iv) (x - 3)/(3) = (y - 8)/(-1) = (z-3)/(1) and (x + 3)/(-3) = (y +7)/(2) = (z -6)/(4) .

Find the distance between the parallel lines (x)/(2) =(y)/(-1) =(z)/(2) and (x-1)/(2) = (y-1)/(-1) = (z-3)/(2) .

(i) Find the equations of the straight line passing through the point (2,3,-1) and is perpendicular to the lines : ( x-2)/(2) = (y + 1)/(1) = (z - 3)/(-3) and (x - 3)/(1) = (y + 2)/(1) = (z - 1)/(1) . (ii) Find the equation of the line which intersects the lines : (x + 2)/(1) = (y - 3)/(2) = (z + 1)/(4) and (x - 1)/(2) = (y - 2)/(3) = (z - 3)/(4) Perpendicular and passes through the point (1,1,1) .

Find the angle between the pair of lines (x+3)/(3)=(y-1)/(5)=(z+3)/(4)(x+1)/(1)=(y-4)/(1)=(z-5)/(2)

NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
  1. Find the angle between the pair of line: vecr=3hati+2hatu-4hatk+lamds(...

    Text Solution

    |

  2. Find the angle between the following pair of line: r=2hati-=5hatj+hatk...

    Text Solution

    |

  3. Find the angle between the pair of lines (x -1 )/(4) = ( y - 3)/(1)...

    Text Solution

    |

  4. The acute angle between the lines (x+4)/-1 = (y-2)/2 = (z-3)/2 and x/2...

    Text Solution

    |

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

    Text Solution

    |

  6. The angle between the lines (x-1)/1 = (y-1)/1 = (z-1)/2 and (x-1)/(-sq...

    Text Solution

    |

  7. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

    Text Solution

    |

  8. Find the angle between the following pair of lines: A lines with direc...

    Text Solution

    |

  9. The acute angle between the line joining the points A(2,1,-3), B(1,-1,...

    Text Solution

    |

  10. The angle between the lines r = (2hati + hatj - 3hatk) + lambda(hati -...

    Text Solution

    |

  11. The angle between the lines whose direction cosines are proportional t...

    Text Solution

    |

  12. The angle made by line AB with perpendicular of co-ordinates axes if A...

    Text Solution

    |

  13. A91,0,4),B(0,-11,3),C(2,-3,1) are three points and D is the foot of pe...

    Text Solution

    |

  14. Find the length of the perpendicular from ( 3,2,1) to the line (x - 7)...

    Text Solution

    |

  15. Find the length of the perpendicular from ( 3,2,1) to the line (x - 7)...

    Text Solution

    |

  16. The foot of the perpendicular drawn from point (2,-3,1) to the line (x...

    Text Solution

    |

  17. Find the length of the perpendicular from ( 3,2,1) to the line (x - 7)...

    Text Solution

    |

  18. 2/ Find the perpendicular distance of the point (1, 0, 0) from the lin...

    Text Solution

    |

  19. Find the perpendicular distasnce of the point (1,0,0) from the lines (...

    Text Solution

    |

  20. Find the foot of the perpendicular from the point (0,2,3) on the line ...

    Text Solution

    |