Home
Class 12
MATHS
If for some alpha in R, the lines L1 :...

If for some `alpha in R,` the lines
`L_1 : (x + 1)/(2) = (y-2)/(-1) = ( z -1)/(1)` and
`L_2 : (x + 2)/(alpha) = (y +1)/(5 - alpha) = (z + 1)/(1)` are coplanar , then the line `L_2` passes through the point :

A

(10, 2, 2)

B

(2, - 10, - 2)

C

(10, -2, -2)

D

(-2, 10 , 2)

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

(i) Find the value of 'p' so that the lines : l_(1) : (1 - x)/(3) = (7y -14)/(2p) = (z - 3)/(2) and l_(2) : (7 -7x)/(3p) = (y - 5)/(1) = (6 - z)/(5) are at right angles. Also, find the equations of the line passing through (3,2, -4) and parallel to line l_(1) . (ii) Find 'k' so that the lines : (x - 3)/(2) = (y + 1)/(3 ) = (z - 2)/(2k) and (x + 2)/(1) = (4 -y)/(k) = (z + 5)/(1) are perpendicular to each other.

Two lines L_(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L_(2) : x=alpha, (y)/(-1)=(z)/(2-alpha) are coplanar. Then, alpha can take value(s)

If the lines L_(1):(x-1)/(3)=(y-lambda)/(1)=(z-3)/(2) and L_(2):(x-3)/(1)=(y-1)/(2)=(z-2)/(3) are coplanar, then the equation of the plane passing through the point of intersection of L_(1)&L_(2) which is at a maximum distance from the origin is

The complete set of values of alpha for which the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-3)/(2) =(y-5)/(alpha)=(z-7)/(alpha+2) are concurrent and coplanar is

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The distance of the point (1, 1, 1) from the plane passing through the point (-1, -2, -1) and whose normal is perpendicular to both the lines L_(1) and L_(2) , is

Consider the lines L _ 1 : ( x - 1 )/ ( 3 ) = ( y + 2 ) / ( 1 ) = ( z + 1 ) / ( 2 ) L _ 2 : ( x - 2) / ( 1 ) = ( y + 2 ) / ( 2 ) = ( z - 3 )/ ( 3 ) The unit vector perpendicular to both L _ 1 and L_ 2 is

(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) .

The shortest distance between lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2) , L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) is

Read the following passage and answer the questions. Consider the lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The distance of the point (1,1,1) from the plane passing throught the point (-1,-2,-1) and whose normal is perpendicular to both the lines L_(1) and L_(2) , is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. The statement (p to (q to p)) to (p to (p vv q) ) is :

    Text Solution

    |

  2. underset(x to 0)(lim)(x(""(e)^((sqrt(1+x^(2)+x^(4))-1)/x)-1))/(sqrt(1+...

    Text Solution

    |

  3. If the sum of the first 20 terms of the series log((7^(1//2)))x + l...

    Text Solution

    |

  4. the derivation of tan^-1((sqrt(1+x^2)-1)/x) with respect to tan^-1((2...

    Text Solution

    |

  5. If int(cos theta)/(5 + 7 sin theta - 2 cos^2 theta) d theta = A loge |...

    Text Solution

    |

  6. Let y = y (x) be the solution of the differential equation cos x (...

    Text Solution

    |

  7. If the length of the chord of the circle , x^2 + y^2 = r^2 (r gt 0) a...

    Text Solution

    |

  8. If the mean and the standard deviation of the data 3,5,7,a,b are 5 an...

    Text Solution

    |

  9. If for some alpha in R, the lines L1 : (x + 1)/(2) = (y-2)/(-1) = (...

    Text Solution

    |

  10. There are three sections in a question paper, each containing 5 questi...

    Text Solution

    |

  11. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^6

    Text Solution

    |

  12. In a bombing attack , there is 50% chance that a bomb will hit target ...

    Text Solution

    |

  13. If the lines x + y =a and x - y = b touch the curves y = x^2 -3 x + 2 ...

    Text Solution

    |

  14. Let the vectors veca, vecb, vecc be such that |veca| = 2 |vecb| = 4 " ...

    Text Solution

    |

  15. Let A = { a, b,c } and B = {1, 2, 3, 4} . Then the number of elements ...

    Text Solution

    |

  16. The consists of 6 multiple choice questions, each having 4 alternative...

    Text Solution

    |

  17. If vec a =2 hat i + hat j + 2 hat k, then the value of | hat i xx (va...

    Text Solution

    |

  18. Let {x} and [x] denote the fractional part of x and the greatest inter...

    Text Solution

    |

  19. If the variance of the following frequency distribution , {:("Class","...

    Text Solution

    |

  20. Let PQ be a diameter of the circle x^(2) + y^(2)=9 If alpha and beta a...

    Text Solution

    |