Home
Class 12
MATHS
Two lines L(1) : x=5, (y)/(3-alpha)=(z)/...

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)

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|87 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

Consider the line L_(1) : (x-1)/(2)=(y)/(-1)=(z+3)/(1), L_(2) : (x-4)/(1)=(y+3)/(1)=(z+3)/(2) find the angle between them.

L_(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L_(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) The lines L_(1) and L_(2) are -

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 coplanar is

If the lines (x-3)/(2)=(y-5)/(2)=(z-4)/(lambda) and (x-2)/(lambda)=(y-6)/(4)=(z-5)/(2) intersect at a point (alpha, beta, gamma) , then the greatest value of lambda is equal to

Let L1 and L2 be two lines such that L_(2) : (x+1)/-3=(y-3)/2=(z+2)/1, L_(2) : x/1 = (y-7)/-3 = (z+7)/2 The point of intersection of L1 and L2 is

Prove that the straight lines x/alpha=y/beta=z/gamma,x/l=y/m=z/n and x/(a alpha)=y/(b beta)=z/(c gamma) will be co planar if l/alpha(b-c)+m/beta(c-a)+n/gamma(a-b)=0

Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alpha+delta) and (x-b+c)/(beta-gamma)=(y-b)/beta=(z-b-c)/(beta+gamma) are coplanar.

let |{:(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2),x,1+x):}|=(1)/(6)(x-alpha_(1))(x-alpha_(2))(x-alpha_(3))(x-alpha_(4)) be an identity in x, where alpha_(1),alpha_(2),alpha_(3),alpha_(4) are independent of x. Then find the value of alpha_(1)alpha_(2)alpha_(3)alpha_(4)

If a variable takes the discrete values alpha+4 , alpha -(7)/(2), alpha-(5)/(2), alpha-2,alpha-3,alpha+(1)/(2), alpha-(1)/(2), alpha+5(alpha gt 0) , then the median is

If (1,2, p), (2, 8, -6) and (alpha^(2)-2alpha,p,1) are ordered triplet pair of the form (x, y, z) which satisfy all the equations (x)/(a)+(y)/(b)+(z)/(c )=1, (x)/(b)+(y)/(c )+(z)/(a)=1 and (x)/(c )+(y)/(a)+(z)/(b)=1, then the sum of all the values of alpha is equal to (where, ab+bc+ca ne0 )

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE ADVANCED (ARCHIVE)
  1. Consider three planes P(1):x-y+z=1, P(2):x+y-z=-1 and P(3):x-3y+3z=2...

    Text Solution

    |

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

    Text Solution

    |

  3. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

    Text Solution

    |

  4. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

    Text Solution

    |

  5. A line l passing through the origin is perpendicular to the lines l(...

    Text Solution

    |

  6. In R(3) , consider the planes P(1):y=0and P(2) : x+z=1. Let P(3) ...

    Text Solution

    |

  7. let L be a straight line passing through the origin. Suppose that all ...

    Text Solution

    |

  8. Consider a pyramid OPQRS located in the first octant (xge0, yge0, zge0...

    Text Solution

    |

  9. Let P(1):2x+y-z=3" and "P(2):x+2y+z=2 be two planes. Then, which of th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Let P be a point in the first octant, whose image Q in the plane...

    Text Solution

    |

  14. If the distance between the plane Ax-2y+z=d. and the plane containing ...

    Text Solution

    |

  15. Consider the lines L(1): (x-1)/(2)=(y)/(-1)= (z+3)/(1) , L(2): (x-4)/(...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. Find the equation of a plane passing through (1, 1, 1) and parallel to...

    Text Solution

    |

  18. A parallelepiped S has base points A ,B ,Ca n dD and upper face points...

    Text Solution

    |

  19. Find the equation of the plane passing through the points (2,1,0),(5...

    Text Solution

    |

  20. If P is the point (2,1,6) find the point Q such that PQ is perpendicul...

    Text Solution

    |