Home
Class 12
MATHS
A(-2, 2, 3) and B(13, -3, 13) and L is a...

`A(-2, 2, 3) and B(13, -3, 13)` and L is a line through A.
Q. A point P moves in the space such that `3PA=2PB`, then the locus of P is

A

`x^2+y^2+z^2+28x-12y+10z-247=0`

B

`x^2+y^2+z^2-28x+12y+10z-247=0`

C

`x^2+y^2+z^2+28x-12y-10z-247=0`

D

`x^2+y^2+z^2-28x+12y-10z-247=0`

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|9 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

If A(-2,2,3) and B(13,-3,13) are two points.Find the locus of a point P which moves in such a way that 3PA=2PB

A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordinate of the line point P which divides the join of A and B in the ratio 2:3 internally are

A(-9,0),B(-1,0) are two points.If P is a point such that PA:PB=3:1, then the locus of P is

If P(-2,2,3) and Q(13,-3,13) are two points. Find the locus of point R which moves such that 3PR=2QR

A(1, 2) B(2, -3) C(-2, 3) are three points. If P is a point moves such that PA^2 + PB^2 = 2PC^2 then the locus of P is

If A and B are two fixed points and P is a variable point such that PA+PB=4, the locus of P is

A(1,2) , B(2,-3) And C(-2,3) are three points. A point P moves such that PA^(2)+PB^(2)=2PC^(2) .Show that the equation to the locus of P is 7x-7y+4=0

A(2,3),B(1,5),C(-1,2)" are three points.If "P" is a point moves such that "PA^(2)+PB^(2)=2PC^(2)" ,then the locus of "P" is "

A (2,3),B(-3,4) are two points.If a point "P" moves such that the area of Delta PAB is 8.5 sq.Units then the locus of "P" is

Let A(-2, 2, 3) and B(13, -3, 13) be to two points and angle be a line passing through the point A. Direction ratios of the normal to the plane passing throuth the origin and the points A and B are

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  2. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  3. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  4. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. A point ...

    Text Solution

    |

  5. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

    Text Solution

    |

  6. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation...

    Text Solution

    |

  7. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |

  8. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |

  9. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |

  10. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  11. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  12. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  13. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

    Text Solution

    |

  14. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

    Text Solution

    |

  15. The line of greatest slope on an inclined plane P1 is that line in the...

    Text Solution

    |

  16. The line of greatest slope on an inclined plane P1 is the line in the ...

    Text Solution

    |

  17. The line of greatest slope on an inclined plane P1 is the line in the ...

    Text Solution

    |

  18. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

    Text Solution

    |

  19. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

    Text Solution

    |

  20. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

    Text Solution

    |