Home
Class 12
MATHS
If the lines x=ay +b, z=cy+d and x=a'y...

If the lines
x=ay +b, z=cy+d and `x=a'y + b', z=c'y + d'` are perpendicular, then

A

`aa^(')+c c^(')+1=0`

B

`ad+bb=1`

C

`ad+bb=0`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PROBLEM SET (4)|19 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE(TRUE AND FALSE)|27 Videos

  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise PROBLEM SET (2)|12 Videos

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Self Assessment Test |35 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos

Similar Questions

Explore conceptually related problems

If lines x=ay+b, z= cy +d " and " x=a' z+b y+c' z+ d' are perpendicular then

The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular to each other, if

Prove that the lines x=ay +b,z =cy +d and x=a'y +b' z =c'y +a' are perpendicular if aa'+cc' +1=0

Fid the condition if lines x=ay+b,z=cy+d and x=a'y+b',z=c'y+d are perpendicular.

the two lines x=ay+b,z=cy+d and x=a\'y+b,z=c\'y+d\' will be perpendicular, if and only if: (A) aa\'+cc\'=1=0 (B) aa\'+bb\'+cc\'=1=0 (C) aa\'+bb\'+cc\'=0 (D) (a+a\')+(b+b\')+(c+c\')=0

The two lines x=ay+b,z=cy+d and x=a'y+b',z=c'y+d' will be perpendicularm if and only if

If the two lines represented by x+ay=b,z+cy=d and x=a'y+b', z=c'y+d' be perpendicular to each other, then the value of a a'+c c' is :

Under which one of the following conditions are the lines x= ay + b ; z = cy + d and x = ey +f ; z = gy + h perpendicular

Two lines in 3-D are x=ay+b,z=cy+d and x=a^'z+b',y=c'x+d' are perpendicular to each other then which of the following condition is true? (a) aa'+c+c'=0 (b) c c'+a+a'=0 (c) aa'+c c'=0 (d) a a'+c c'+1=0

ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (3)
  1. Equation of a line passing through (1,-2,3) and parallel to the plane ...

    Text Solution

    |

  2. The S.D between the lines (x+3)/-3=(y+7)/2=(z-6)/4 is equal to

    Text Solution

    |

  3. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

    Text Solution

    |

  4. The lines (x-a+b)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alpha+delta), (...

    Text Solution

    |

  5. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

    Text Solution

    |

  6. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  7. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  8. The lines (x-2)/gamma=(y-4)/2=(z-5)/1 are coplaner ifgamma is

    Text Solution

    |

  9. The line passing through the points (5,1,a) and (3,b,1) crosses the y...

    Text Solution

    |

  10. If the straight lines (x-1)/k = (y-2)/2 =(z-3)/3 and (x-2)/3 = (y-3)...

    Text Solution

    |

  11. Find the distance of a point (2,4,-1) from the line (x+5)/1=(y+3)/4=...

    Text Solution

    |

  12. Distance of the point (x(1),y(1),z(1)) from the line (x-x(2))/1=(y-y(...

    Text Solution

    |

  13. If a line makes angles alpha,beta,gamma with co-ordinate axes, then co...

    Text Solution

    |

  14. The angle between the line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y-...

    Text Solution

    |

  15. If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the pl...

    Text Solution

    |

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

    Text Solution

    |

  17. The direction ratios of the line x-y+z-5=0=x-3y-6 are

    Text Solution

    |

  18. A line with direction cosines proportional to 2,1,2 meet each of the l...

    Text Solution

    |

  19. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  20. Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

    Text Solution

    |