Home
Class 12
MATHS
Let L be the line x-4 =y-2 =(z-7)/(2) an...

Let L be the line `x-4 =y-2 =(z-7)/(2) and P ` be the plane 2x - 4y +z =7
Statement 1: The line L lies in the plane P
Statement 2: The direction ratios of the line L are` l_1 =1, m_1 =1, n_1= 2 ` and that of the normal to the plane P are `l_2 =2, m_2 =-4, n_2 =1 ` and `l_1l_2 +m_1 m_2 +n_1 n_2 =0` holds

A

Both the statement are True and II is the correct explanation of I

B

Both the statement are True but Statement II is Not the correct explanation of Statement I.

C

statement -I is True and Statement -II is False

D

statement -I is False and statement -II is True

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

Find the direction ratios of the line bisecting the angles between the lines whose direction cosines are l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) and the angle between the lines is theta .

If the line, (x-3)/(2) = (y+2)/(-1) = (z +4)/(3) lies in the plane, lx + my - z =9, then l ^(2) + m ^(2) is equal to

If (1,2,1), (1,-3,2) are the direction ratios of two lines and (l, m,n) are the direction cosines of a line perpendicular to the given lines, then l + m + n

Let the lines L_(1), L_(2), L_(3) lie in a plane pi . If a line L is equally inclinded with these lines, show tat L is normal to the plane pi .

Consider a plane x + y - z= 1 and point A (1,2,-3). A line L has the equation x =1 + 3r ,y =2- r and z =3 + 4r The coordinate of a point B of line L such that AB is parallel to the plane is

Consider a plane x + y - z= 1 and point A (1,2,-3). A line L has the equation x =1 + 3r ,y =2- r and z =3 + 4r The equation of the plane containing line L and point A has the equation

If the straight line L=3x+4y-k=0 cuts the line segment joining the points P(2,-1) and Q(1,1) in the ratio 4:1 , then the equation of the line parallel to the line y=x and concurrent with the lines PQ and L =0 is

AAKASH SERIES-REVISION EXERCISE -STRAIGHT LINES
  1. If the projection of a line segment on the x, y and z -axes in 3 dim...

    Text Solution

    |

  2. Let ABC be a triangle with vertices at points A( 2,3,5 ), B ( -1,3,2)...

    Text Solution

    |

  3. The equation of a plane through the line of intersection of the planes...

    Text Solution

    |

  4. Equation of a plane which passes through the point of intersection of ...

    Text Solution

    |

  5. Let A (2,3,5) , B ( -1,3,2) and C( lambda ,5, mu ) be the vertices ...

    Text Solution

    |

  6. A line in 3 dimensional space makes an angle theta (0 lt theta le pi...

    Text Solution

    |

  7. The plane containing the line (x-1)/(1) =(y-2)/( 2) =(z-3)/(3) and ...

    Text Solution

    |

  8. A symmetrical form of the line of intersection of the planes x= ay +b...

    Text Solution

    |

  9. If the distance between the planes 4x -2y - 4z +1 =0 and 4x -2y -4z +...

    Text Solution

    |

  10. Equation of the line of shortest distance between the lines (x)/(1) =...

    Text Solution

    |

  11. If the angle theline 2(x+1)=y=z+4 and the plane 2x-y+sqrt(lambda)z+4=0...

    Text Solution

    |

  12. Shortest distance between z-axis and the line (x-2)/(3) =(y-5)/(2) =(...

    Text Solution

    |

  13. Let L be the line x-4 =y-2 =(z-7)/(2) and P be the plane 2x - 4y +z =...

    Text Solution

    |

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

    Text Solution

    |

  15. The reflection point of the point (0, 3,-2) " on the line " (1-x)/(...

    Text Solution

    |

  16. A variable plane passes through a fixed point (1,-2,3) and meets the ...

    Text Solution

    |

  17. The distance of the point (1,0,2) from the point of intersection of t...

    Text Solution

    |

  18. The number of distinct real values of lamda for which the lines (x-1)/...

    Text Solution

    |

  19. The distance of the point (1, -5, 9) from the plane x - y + z=5 measur...

    Text Solution

    |

  20. If the line, (x-3)/(2) = (y+2)/(-1) = (z +4)/(3) lies in the plane, lx...

    Text Solution

    |