Home
Class 12
MATHS
Consider the planes 3x-6y-2z=15a n d2x+y...

Consider the planes `3x-6y-2z=15a n d2x+y-2z=5.` Statement 1:The parametric equations of the line intersection of the given planes are `x=3+14 t ,y=2t ,z=15 tdot` Statement 2: The vector `14 hat i+2 hat j+15 hat k` is parallel to the line of intersection of the given planes.

A

Statement-I is true, Statement II is also true, Statement-II is the correct explanation of Statement-I.

B

Statement-I is true, Statement-II is also true, Statement-II is not the correct explanation of Statement-I.

C

Statement-I is true, Statement-II is false.

D

Statement-I is false, Statement -II is true.

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|9 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Consider the planes 3x-6y-2z-15=0 and 2x+y-2z-5=0 Statement 1: The parametric equations of the line intersection of the given planes are x=3+14t,y=2t,z=15t .Statement 2: The vector 14hat i+2hat j+15hat k is parallel to the line of intersection of the given planes.

If t is a parameter, then the line of intersection of the planes 3x-6y-2z=15and2x+y-2z=5 is

A plane P passes through the line of intersection of the planes 2x-y+3z=2,x+y-z=1 and the point (1,0,1). What are the direction ratios of the line of intersection of the given planes ?

A plane P passes through the line of intersection of the planes 2x-y+3z=2.x+y-z=1 and the point (1,0,1) What are the direction ration of the line of intersection of the given planes

Find the equation of the plane passing through the intersection of the planes vec rdot( (hat i+ hat j+ hat k)=1\ a n d\ vec rdot((2 hat i+3 hat j- hat k)+4=0 and parallel to x-axis.

The angle between (hat i+hat j+hat k) and line of the intersection of the plane 2x+y+4z=0 and 3x+4y+z=0 is

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  2. Consider three planes P(1):x-y+z=1 P(2):x+y-z=-1 and " "P...

    Text Solution

    |

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

    Text Solution

    |

  4. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

    Text Solution

    |

  5. The distance of the point (1, 3, -7) from the plane passing through th...

    Text Solution

    |

  6. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  7. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

    Text Solution

    |

  8. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  9. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

    Text Solution

    |

  10. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |

  11. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+...

    Text Solution

    |

  12. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

  13. If the lines (x-2)/1=(y-3)/1)(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

    Text Solution

    |

  14. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

    Text Solution

    |

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

    Text Solution

    |

  16. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

    Text Solution

    |

  17. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

    Text Solution

    |

  18. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

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

    Text Solution

    |

  20. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

    Text Solution

    |