Home
Class 12
MATHS
The line passing through the points (5,1...

The line passing through the points `(5,1,a)` and `(3,b,1)` crosses the yz-plane at the point `(0,17/2,(-13)/2)`.Then

A

a=6, b=4

B

a=8, b=2

C

a=2, b=8

D

a=4, b=6

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise PREVIOUS YEAR MHT-CET EXAM QUESTIONS|3 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,8|16 Videos
  • PLANE IN SPACE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP- CHAPTERS 6,7,22|1 Videos
  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos
  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

Similar Questions

Explore conceptually related problems

The line passing through the points (5, 1, a) and (3, b, 1) crosses the yzplane at the point (0,(17)/2,(-13)/2) .Then (1) a""=""2,""b""=""8 (2) a""=""4,""b""=""6 (3) a""=""6,""b""=""4 (4) a""=""8,""b""=""2

The line passing through the points (5,1,4) and (3,b,1) crosses the yz-plane at the point (0,(17)/(2), - (13)/(2)). Then:

If the line passing through the points (5,1,p) and (3,q,1) crosses the YZ plane at the point (0,17/2, -13/2) , then

If the line passing through the points (3,y,1) and (5,1,z) crosses the yz- plane at the point (0,(17)/(2),(-13)/(2)) then y + z

The line passing through the points (5,1,a) and (3,b,1) crosses yz -plane at (0,(17)/(2),(-13)/(2)) .Then a+b=

The line passing through the points (1,2,-1) and (3,-1,2) meets the yz-plane at which one of the following points? (A) (0,-(7)/(2),(5)/(2))(B)(0,(7)/(2),(1)/(2))(C)(0,-(7)/(2),-(5)/(2))(D)(0,(7)/(2),-(5)/(2))

Find the coordinates of the point where the line through the points (3,4,5) and (2,3,1), crosses the plane determined by the points (1,2,3),(4,2,3) and (0,4,3).

MARVEL PUBLICATION-PLANE IN SPACE -PART B: MASTERING THE BEST ON LINE AND PLANE IN SPACE
  1. The direction Cosines of two lines at right angles are l(1),m(1),n(1)a...

    Text Solution

    |

  2. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  3. If h, m1, n1 and l2, m2, n2 are D.C.s of the two lines inclined to eac...

    Text Solution

    |

  4. Let vectors bara, barb, barc and bard be such that (baraxxbarb)xx(ba...

    Text Solution

    |

  5. A non zero vector veca is parallel to the kine of intersection of the ...

    Text Solution

    |

  6. Value of k such that the line (x-4)/1 = (y-2)/1 =(z-k)/2 lies in th...

    Text Solution

    |

  7. IF lines (x-1)/(2) =(y+1)/(3) =(z-1)/(4) and x-3 =(y-k) /(2) = z ...

    Text Solution

    |

  8. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

    Text Solution

    |

  9. If the straight lines (x-1)/k = (y-2)/2 =(z-3)/3 and (x-2)/3 = (y-3)...

    Text Solution

    |

  10. A variable plane at distance of 1 unit from the origin cuts the coordi...

    Text Solution

    |

  11. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

    Text Solution

    |

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

    Text Solution

    |

  13. A plane which passes through the point (3,2,0), and the line (x-3)/1 =...

    Text Solution

    |

  14. Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=...

    Text Solution

    |

  15. The line passing through the points (5,1,a) and (3,b,1) crosses the y...

    Text Solution

    |

  16. Let the line (x-2)/3 = (y-1)/-5 =(z+2)/2 lie in the plane x+3y - alpha...

    Text Solution

    |

  17. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  18. The equation of the plane containing the straight line x/2=y/3=z/4 and...

    Text Solution

    |

  19. Equation of the plane which passes through the Z-axis, and is perpendi...

    Text Solution

    |

  20. For what value (s) of a will the two points (1,a ,1)a n d(-3,0,a) l...

    Text Solution

    |