Home
Class 12
MATHS
The coordinates of the point A and B are...

The coordinates of the point `A and B` are (a,0) and `(-a ,0),` respectively. If a point `P` moves so that `P A^2-P B^2=2k^2,` when `k` is constant, then find the equation to the locus of the point `Pdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|9 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE ENGLISH|Exercise Comprehension Type|2 Videos

Similar Questions

Explore conceptually related problems

The coordinates of three points O, A, B are (0, 0), (0,4) and (6, 0) respectively. A point P moves so that the area of Delta POA is always twice the area of Delta POB . Find the equation to both parts of the locus of P.

Two points A and B with co-ordinates (5, 3), (3, -2) are given. A point P moves so that the area of DeltaPAB is constant and equal to 9 square units. Find the equation to the locus of the point P.

A and B are two given points whose coordinates are (-5, 3) and (2, 4) respectively. A point P moves in such a manner that PA : PB = 3:2 . Find the equation to the locus traced out by P .

If the coordinates of two points A and B are (3, 4) and (5,-2) , respectively, find the coordinates of any point P if P A=P Bdot Area of P A B is 10 sq. units.

If the coordinates of two points A and B are (3, 4) and (5,-2) , respectively, find the coordinates of any point P if P A=P Bdot Area of P A B is 10 sq. units.

If the coordinates of two points A and B are (3, 4) and (5,-2) , respectively, find the coordinates of any point P if P A=P Bdot Area of P A B is 10 sq. units.

If A and B are (1,\ 4) and (5,\ 2) respectively, find the coordinates of P when A P//B P=3//4 .

If the coordinates of two points A and B are (3,\ 4) and (5,\ -2) respectively. Find the coordinates of any point P , if PA = PB, and area of triangle PAB is 10.

A(2, 0) and B(4, 0) are two given points. A point P moves so that PA^(2)+PB^(2)=10 . Find the locus of P.

A (c,0) and B (-c,0) are two points . If P is a point such that PA + PB = 2a where 0 lt c lt a, then find the locus of P.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If the coordinates of a variable point P are (acostheta,bsintheta), wh...

    Text Solution

    |

  2. Find the locus of a point whose distance from (a, 0) is equal to it...

    Text Solution

    |

  3. The coordinates of the point A and B are (a,0) and (-a ,0), respecti...

    Text Solution

    |

  4. The locus of the foot of perpendicular drawn from origin to a variabl...

    Text Solution

    |

  5. A variable line through the point P(2,1) meets the axes at A an d B...

    Text Solution

    |

  6. If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertic...

    Text Solution

    |

  7. Let A(2,-3) and B(-2,1) be the vertices of Delta A B Cdot If the ...

    Text Solution

    |

  8. Convert the following points from polar coordinates to the correspon...

    Text Solution

    |

  9. A straight line is drawn through P(3,4) to meet the axis of x and y...

    Text Solution

    |

  10. A variable line passing through point P(2,1) meets the axes at A and...

    Text Solution

    |

  11. A point moves such that the area of the triangle formed by it with ...

    Text Solution

    |

  12. Find the locus of the point of intersection of lines xcosalpha+ysin...

    Text Solution

    |

  13. Find the locus of the middle point of the portion of the line xcosa...

    Text Solution

    |

  14. Q is a variable point whose locus is 2x+3y+4=0; corresponding to a ...

    Text Solution

    |

  15. Convert y=10 into a polar equation.

    Text Solution

    |

  16. Convert the following Cartesian coordinates to the corresponding po...

    Text Solution

    |

  17. Find the minimum distance of any point on the line 3x+4y-10=0 from ...

    Text Solution

    |

  18. If the difference between the roots of the equation x^2+""a x""+""1...

    Text Solution

    |

  19. Express the polar equation r=2costheta in rectangular coordinates.

    Text Solution

    |

  20. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |