Home
Class 12
MATHS
Ifthe points (1,1, lambda) and (-3,0,1)...

Ifthe points `(1,1, lambda) and (-3,0,1)` are equidistant from the plane,`3x + 4y-12z + 13 = 0`, then `lambda` satisfiesthe equation

A

`3x^(2)-10x+7=0`

B

`3x^(2)+10x+7=0`

C

`3x^(2)+10x-13=0`

D

`3x^(2)-10x+21=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|20 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the plane 3x+4y-12 z+13=0.

Show that the points (-3,0,1) and (1,1,1) are equidistant from the plane 3x+4y-12z+13=0 .

Show that the points (1,-1,3) and (3, 4, 3) are equidistant from the plane 5x +2y + -7z + 8 = 0.

If the points (1,1,p) and (3,0,1) be equidistant from the plane vec r*(3hat i+4hat j-12hat k)+13=0, then find the value of p.

Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the plane barr *(3hati + 4hatj - 12hatk) + 13 = 0

If the points (1,\ 1,\ lambda)a n d\ (-3,\ 0,\ 1) be equidistant from the plant vec rdot((3 hat i+4 hat j-12 hat k)+13=0 find the value of lambdadot

The points (1,1,p) and (-3,0,1) are equidistant from the plane bar(r)*(3bar(i)+4bar(j)-12bar(k))+13=0 ,then the value of p(p!=1) is

Find the distance of the point (1,2,0) from the plane 4x+3y+12z+16=0

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Find the shortest distance between the z-axis and the line, x+y+2z-...

    Text Solution

    |

  2. A plane containing the point (3, 2, 0) and the line (x-1)/(1)=(y-2)/(5...

    Text Solution

    |

  3. Ifthe points (1,1, lambda) and (-3,0,1) are equidistant from the plan...

    Text Solution

    |

  4. If the shortest distance between the lines (x-1)/alpha= (y+1)/-1 =z/1 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The shortest distance between the lines lines x/2 = y/2 = z/1 and (x+2...

    Text Solution

    |

  8. The distance of the point (1,-2,4) from the plane passing through the ...

    Text Solution

    |

  9. A B C is a triangle and A=(235)dotB=(-1,3,2)a n dC=(lambda,5,mu)dot If...

    Text Solution

    |

  10. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If the lies (x-3)/1=(y+2)/-1=(z+lambda)/(-2) lies on the line, 2x - 4...

    Text Solution

    |

  14. The coordinates of the foot of the perpendicular from the point (1, -2...

    Text Solution

    |

  15. Line of intersection of the two planes barr.(3i - j + k)=1 and barr.(i...

    Text Solution

    |

  16. If a variable plane, at a distance of 3 units from the origin, interse...

    Text Solution

    |

  17. The length of the projection of the line segment joining the points (5...

    Text Solution

    |

  18. If L1 is the line of intersection of the planes 2x-2y+3x-2=0x-y+z+1=0 ...

    Text Solution

    |

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

    Text Solution

    |

  20. An agle between the plane, x + y+ z =5 andthe line of intersection of ...

    Text Solution

    |