Home
Class 12
MATHS
The three planes 4y+6z=5,2x+3y+5z=5 and ...

The three planes `4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10` (a) meet in a point (b) have a line in common (c) form a triangular prism (d) none of these

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Consider three planes, 2x+py+6z=8,x+2y+qz=5 and x+y+3z=4 .

The angle between the planes x-2y+2z=5 and 2x-3y+6z=11 is -

Consider three planes 2x+ py + 6z=8 x+2y+qz=5 x+y+3z=4 Three planes intersect at a point if __

Reduce the equation of line x-y+2z=5 and 3x+y+z=6 in symmetrical form.

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

Find the angle between the lines 2x=3y=-z and 6x=-y=-4z

Find the angle between the planes 2x+y-2z+3=0a n d 6x−2y+3z=5

The equation of the plane contaning the line 2x -5y + z= 3, x + y + 4z =5 and parallel to the plane, x + 3y + 6z = 1 is

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

Consider the lines L_1:(x-1)/2=y/(-1)=(z+3)/1,L_2:(x-4)/1=(y+3)/1=(z+3)/2 and the planes P_1:7x+y+2z=3,P_2:3x+5y-6z=4. Let a x+b y+c z=d be the equation of the plane passing through the point match Column I with Column II. Column I, Column II a= , p. 13 b= , q. -3 c= , r. 1 d= , s. -2

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

    Text Solution

    |

  2. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  3. The three planes 4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10 (a) meet in a poi...

    Text Solution

    |

  4. Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the...

    Text Solution

    |

  5. Find the following are equations for the plane passing through the p...

    Text Solution

    |

  6. The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)...

    Text Solution

    |

  7. L1a n dL2 are two lines whose vector equations are L1: vec r=lambda((c...

    Text Solution

    |

  8. Value of lambda such that the line (x-1)/2=(y-1)/3=(z-1)/lambda is | t...

    Text Solution

    |

  9. Equation of the plane passing through the points (2,2,1)a n d(9,3,6)...

    Text Solution

    |

  10. The equation of a plane which passes through the point of intersection...

    Text Solution

    |

  11. If the foot of the perpendicular from the origin to plane is P(a ,b ...

    Text Solution

    |

  12. Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular...

    Text Solution

    |

  13. The intercept made by the plane vec r . vec n=q on the x-axis is a. q...

    Text Solution

    |

  14. The coordinates of the foot of the perpendicular drawn from the orig...

    Text Solution

    |

  15. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

    Text Solution

    |

  16. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

    Text Solution

    |

  17. Consider three planes P1 : x-y + z = 1, P2 : x + y-z=-1 and P3 : x-3y ...

    Text Solution

    |

  18. Consider the planes 3x-6y-2z-15 =0 and 2x+y-2z - 5=0 Statement 1:The ...

    Text Solution

    |

  19. The length of projection of the line segment joining the points (1,0,-...

    Text Solution

    |

  20. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

    Text Solution

    |