Home
Class 12
MATHS
If P be the point (2,6, 3) then the equa...

If P be the point `(2,6, 3)` then the equation of the plane through P, at right angles to OP, where 'O' is the origin is

A

2x+6y+3z=7

B

2x-6y+3z=7

C

2x+6y-3z=49

D

2x+6y+3z=49

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PLANE

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • PLANE

    TARGET PUBLICATION|Exercise CRITICAL THINKING|58 Videos
  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos
  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

Similar Questions

Explore conceptually related problems

If O is the original and A is the point (a,b,c) then the equation of the plane throught A and at right angles to OA is .

If the axes are rectangular and P is the point (2, 3, -1), find the equation of the plane through P at right angle to O Pdot

The equation of the plane through P(x_(1),y_(1),z_(1)) and perpendicular to OP, (O being the origin) is

If O,P are the points (0,0,0), (2,3,-1) respectively. Then what is the equation to the plane through P at right angles to OP?

If O is the origin and the coordinates of A are (a,b,c). Find the direction cosines of OA and the equation of the plane through A at right angles to OA.

Equations of plane passing through P(a,a,0) and normal to OP is

If O be the origin and the coordinates of P be (1,2,-3) then find the equation of of the plane passing through P and perpendicular to OP.

A plane is passing through a point P(a, –2a, 2a), a ne 0 , at right angle to OP, where O is the origin to meet the axes in A, B and C. Find the area of the triangle ABC.

A circle passing through (0,0),(2,6),(6,2) cuts the x-axis at the point Pne(0,0) . Then the length of OP, where O is the origin, is

TARGET PUBLICATION-PLANE-COMPETATIVE THINKING
  1. If the foot of the perpendicular drawn from the origin to a plane is (...

    Text Solution

    |

  2. Find the co-ordinate of the foot of the perpendicular drawn form the o...

    Text Solution

    |

  3. If P be the point (2,6, 3) then the equation of the plane through P, a...

    Text Solution

    |

  4. The equation of the plane passng throuogh (1,1,1) and (1,-1,-1) and pe...

    Text Solution

    |

  5. Equation of the plane through (-2,2,2) and (2,-2,-2) and perpendicular...

    Text Solution

    |

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

    Text Solution

    |

  7. The equation of the plane which passes through (2,-3,1) and is normal ...

    Text Solution

    |

  8. The equation of the plane passing through the point (-10,5,4) and perp...

    Text Solution

    |

  9. A plane II passes through the point (1,1,1).If b,c,a are the direction...

    Text Solution

    |

  10. If veca,vecb and vecc are three non-coplanar vectors, then the vector ...

    Text Solution

    |

  11. The equation of the plane that passes through the points (1,0,2),(1,1,...

    Text Solution

    |

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

    Text Solution

    |

  13. If the plane passing through the points (1,2,3),(2,3,1) and (3,1,2) is...

    Text Solution

    |

  14. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |

  15. The equation of plane passing through (2,1,0) and line of intersection...

    Text Solution

    |

  16. Equation of the plane perpendicular to the line (x)/(1)=(y)/(2)=(z)/(3...

    Text Solution

    |

  17. A plane which passes through the point (3,2,0) nd the line (x-4)/1=(y-...

    Text Solution

    |

  18. The equation of the plane through the point (2,-1,-3) and parallel to ...

    Text Solution

    |

  19. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  20. The angular between two planes x+2y+2z=3 and -5x+3y+4z=9 is

    Text Solution

    |