Home
Class 12
MATHS
A(1,2),B(2,- 3),C(-2,3) are 3 points. A ...

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

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION - C|36 Videos

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION - A|25 Videos

  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)|44 Videos

  • SOLVED MODEL PAPER - 4

    SRISIRI PUBLICATION|Exercise Long Answer Questions|9 Videos

Similar Questions

Explore conceptually related problems

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

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

Let A(1,0), B(-1,0), C(2, 0) then the locus of a point P such that PB^(2)+ PC^(2) = 2PA^(2) is

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

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 locus of P is lx+my+n=0 . Then decreasing order of l,m,n

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

If A(a, 0), B(-a, 0) then the locus of the point P such that PA^(2)+PB^(2)=2c^(2) is

A ( 2, 3 ) , B ( -2, 3 ) are two points. The locus of P which moves such that PA- PB = 4 is

A(2,0), B(-2, 0) are two points. The locus of the point P which moves such that PA-PB=2 is

SRISIRI PUBLICATION-QUESTION PAPER -SECTION - B
  1. A(5,3) and B(3,-2) are 2 fixed points. Find the equation of locus of P...

    Text Solution

    |

  2. Find the equation of the locus of P, if A=(2,3), B=(2,-3) and PA +PB =...

    Text Solution

    |

  3. A(1,2),B(2,- 3),C(-2,3) are 3 points. A point P moves such that PA^(2)...

    Text Solution

    |

  4. Find the locus of P(x,y) which moves such that its distances from A(5,...

    Text Solution

    |

  5. When the origin is shifted to the point (2 , 3) the transformed equati...

    Text Solution

    |

  6. The transformed equation of x^(2) - 2sqrt(3)xy -y^(2) =2a^(2) when the...

    Text Solution

    |

  7. When the axes are rotated through an angle alpha, find the transformed...

    Text Solution

    |

  8. When the axes are rotated through an angle 45^@, the transformed equat...

    Text Solution

    |

  9. Prove that the angle of rotation of the axes to eliminate xy term from...

    Text Solution

    |

  10. Transform the equation x/a+y/b=1 into normal form where agt0, bgt0. If...

    Text Solution

    |

  11. Find the points on the line 3x-4y-1=0 which are at a distance of 5 uni...

    Text Solution

    |

  12. The value of k such that the lines 2x-3y+k=0, 3x-4y-13=0 and 8x-11y-33...

    Text Solution

    |

  13. If the straight lines ax+by+c=0, bx+cy=a=0 and cx=ay+b=0 are concurren...

    Text Solution

    |

  14. Find the equation of the line passing through the point of intersectio...

    Text Solution

    |

  15. Find the value of k if the angle between the straight lines 4x-y+7=0, ...

    Text Solution

    |

  16. A straight line with slope 1 passes through Q(-3,5) and meets the stra...

    Text Solution

    |

  17. Show that f(x)={{:((cosax-cosbx)/(x^(2))," if " xne0),((1)/(2)(b^(2)...

    Text Solution

    |

  18. If f is given by f(x)={{:(k^(2)x-k,"if "xge1),(2,"if "xlt1):} is a co...

    Text Solution

    |

  19. Is f given by f(x)={{:((x^2-9)/(x^2-2x-3)" if "0ltxlt5 " and "xne3),(1...

    Text Solution

    |

  20. Find the derivative of sin2x from the first principles .

    Text Solution

    |