Home
Class 12
MATHS
Which of the following are equation for ...

Which of the following are equation for the plane passing through the points `P(1,1,-1),Q(3,0,2)and (-2,1,0)`?

A

`(2hati-3hatj+3hatk).((x+2)hati+(y-1)hatj+zhatk)=0`

B

`x=3-t,y=-11t,z=2-3t`

C

`(x+2)+11(y-1)=3z`

D

`(2hati-hatj+3hatk)xx(-3hati+hatj).((x+2)hati+(y-1)hatj+zhatk)=0`

Text Solution

Verified by Experts

The correct Answer is:
d
`vec(V_1), vec(V_2), vec(PS)` are in the same plane
`" "therefore" "(2hati-hatj+3hatk)xx(-3hati+hatk)`.
`" "((x+2)hati+ (y-1)hatj+ zhatk)=0`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise (Multiple)|17 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise (Reasoning Questions)|10 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Exercise (Subjective)|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Question Bank|20 Videos

  • TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS

    CENGAGE|Exercise Question Bank|34 Videos

Similar Questions

Explore conceptually related problems

Equation of the plane passing through the points (1,0,1), (-1,1,1) and (2,3,1) is

The equation of the plane passing through the points (1,2,3), (-1,4,2) and (3,1,1) is

The equation of plane passing through the points (1,2,-3),(3,1,0) and (0,1,1) is

vector equation of the plane passing through the points (1,-2,5),(0,-5,-1) and (-3,5,0) is

Find equation of plane passing through the points P(1, 1, 1), Q(3, -1, 2) and R(-3, 5, -4) .

find the equation of the plane passing through points (2,1,0),(5,0,1) and (4,1,1).

Find the vector equation of the plane passing through the points (1,1,0),(1,2,1) and (-2,2,-1)

The vector equation of the plane passing through the points (1,-2,1),(2,-1,-3) and (0,1,5) is

The cartesian equation of the plane passing through the points (1 ,1,2),(0,2,3) and(4,5,6) is

Equation of the plane passing through the points A(2,1,-1), B(3,1,2) and parallel to X-axis, is

CENGAGE-THREE-DIMENSIONAL GEOMETRY -Exercise (Single)
  1. The co-ordinates of the point P on the line vecr =(hati +hatj + hatk...

    Text Solution

    |

  2. The ratio in which the line segment joining the points whose position...

    Text Solution

    |

  3. Which of the following are equation for the plane passing through the ...

    Text Solution

    |

  4. Given vecalpha=3 hat i+ hat j+2 hat ka n d vecbeta= hat i-2 hat j-4 h...

    Text Solution

    |

  5. L(1)andL(2) are two lines whose vector equations are L(1):vecr=lamda...

    Text Solution

    |

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

    Text Solution

    |

  7. The line through hati+3hatj+2hatk and perpendicular to the lines vecr=...

    Text Solution

    |

  8. The line through of the plane passing through the lines (x-4)/(1)=(y-3...

    Text Solution

    |

  9. The three planes 4y+6z=5,2x+3y+5z=5a n d6x+5y+9z=10 a. meet in a poi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Value of lamda such that the line (x-1)/(2)=(y-1)/(3)=(z-1)/(lamda) is...

    Text Solution

    |

  13. The equation of the plane passing through the intersection of x + 2y +...

    Text Solution

    |

  14. The plane 4x+7y+4z+81=0 is rotated through a right angle about its ...

    Text Solution

    |

  15. The vector equation of the plane passing through the origin and the li...

    Text Solution

    |

  16. The two lines vecr=veca+veclamda(vecbxxvecc) and vecr=vecb+mu(veccxxve...

    Text Solution

    |

  17. The projection of the line (x+1)/(-1)=y/2=(z-1)/3 on the plane x-2y+z=...

    Text Solution

    |

  18. The direction cosines of a line satisfy the relations lambda(l+m)=n ...

    Text Solution

    |

  19. The intercepts made on the axes by the plane the which bisects the ...

    Text Solution

    |

  20. Find the angle between the lines whose direction cosines are given by ...

    Text Solution

    |