Home
Class 12
MATHS
The lines x = ay -1 = z -2 and z = 3 y -...

The lines `x = ay -1 = z -2 and z = 3 y - 2 = bz-2, (ab ne 0)` are coplanar, if

A

`b =1 , a in R - {0}`

B

` a = 2 , b = 2`

C

`a = 1, b in R - {0}`

D

`a = 2, b =3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-A)|80 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-B)|40 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION -B)|20 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

The lines (x-2)/1=(y-3)/2=(z-4)/(-2k) and (x-1)/k=(y-2)/3=(z-6)/1 are coplanar if

The lines (x-1)/(2)=(y)/(-1)=(z)/(2) and x-y+z-2=0=lambda x+3z+5 are coplanar for lambda

Show that the lines (x-1)/2=(y-3)/-1=z/-1 and (x-4)/3=(y-1)/-2=(z-1)/-1 are coplanar. Also find the equation of the plane containing these lines.

If x=ay-1=z-2, and x=3y-2=bz-2 lie in same plane then the value of a and b is

The equation of the line which intersect each of the two lines 2x+y-1 =0 =x-2y+3z and 3x -y+z+2 = 0 = 4x + 5y - 2z-3 = 0 and is parallel to (x)/(1)=(y)/(2)=(z)/(3) is

Lines (x-1)/1 = (y-1)/2 = (z-3)/0 and (x-2)/0 = (y-3)/0 = (z-4)/1 are

If the lines x-2 = ay-3=(2-z)/3 and bx+1 = y+4=z are mutually perpendicular, then

If the lines (x-1)/(2)=(y)/(-1)=(z)/(2) and x-y+z-2=0=lambdax+3z+5 are coplanar, then the value of 7lambda is equal to

If the lines x-2 = ay-3 =(2-z)/3 and bx +1 = y+4=z are perpendicular to each other, then 1/a + 1/b=

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS
  1. Let P be a variable point on the parabola y = 4x ^(2) +1. Then, the lo...

    Text Solution

    |

  2. If the mean and variance of six observations 7,10, 11, 15 a, b are 10 ...

    Text Solution

    |

  3. The sum of all the local minimum values of the twice differentiable fu...

    Text Solution

    |

  4. If [X] denotes the gratest integer less than or equal to x, then the v...

    Text Solution

    |

  5. Consider the following three statements: (A) If 3 + 3 = 7 then 4 + 3...

    Text Solution

    |

  6. The lines x = ay -1 = z -2 and z = 3 y - 2 = bz-2, (ab ne 0) are copl...

    Text Solution

    |

  7. Consider the line L given by the equation (x -3)/(2) = ( y-1)/( 1) = (...

    Text Solution

    |

  8. If the real part of the complex number (1 - cos theta + 2 i sin theta)...

    Text Solution

    |

  9. The value of (2 tan ^(-1) ((3)/(5)) + sin ^(-1) (( 5)/( 13))) is eq...

    Text Solution

    |

  10. In a triangle ABC, if |vecB C| = 3, |C vecA| = 5 and |vecB A| = 7, the...

    Text Solution

    |

  11. The number of solutions of the equation log ((x + 1)) ( 2x ^(2) + 7x +...

    Text Solution

    |

  12. If the point on the curve y ^(2) = 6x, nearest to the point ( 3, (3)/...

    Text Solution

    |

  13. If lim ( x to 0) (alpha x e ^(x) - beta log (e) (1 + x ) + gamma x ^(2...

    Text Solution

    |

  14. For p gt 0 vector vecv (2) = 2 hati + (p + 1 ) hatj is obtained by r...

    Text Solution

    |

  15. Let a curve y = y (x) be given by the solution of differential equatio...

    Text Solution

    |

  16. Let a function g : [0,4] to R be defined as g (x) ={{:(max,),(0 le t ...

    Text Solution

    |

  17. For k in N ,let (1)/( alpha (alpha +1) (alpha +2) .....(alpha + 20)) =...

    Text Solution

    |

  18. Let {a (n)} ( n -1) ^(oo) be a sequene such that a (1) = 1, a (2) = 1...

    Text Solution

    |

  19. Let A = {a (ij)} be a 3 xx 3 matrix, where a(ij) {{:( (-1) ^( j -i...

    Text Solution

    |

  20. Consider a triangle having vertices A (-2, 3) , B (1, 9) and C ( 3, 8)...

    Text Solution

    |