Home
Class 12
MATHS
If the coordinates of two points A and B...

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.

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

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.

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

The coordinatse of two points A and B are (-1, 4) and (5, 1) , respectively. Find the coordinates of the point P which lie on extended line AB such that it is three times as far from B as from A.

If A and B are two points having coordinates (-2,\ -2) and (2,\ 4) respectively, find the coordinates of P such that A P=3/7A B .

P, Q and R are three collinear points. P and Q are (3, 4) and (7, 7) respectively, and PR =10 units. Find the coordinates of R.

If A and B are (-2,\ -2)\ a n d\ (2,\ -4) , respectively, find the coordinates of P such that A P=3/7A B and P lies on the line segment AB.

If A and B are (2,""2)" "a n d" "(2,""4) , respectively, find the coordinates of P such that A P=3/7 A B and P lies on the line segment AB.

If the coordinates of the two points are P(-2,3) and Q(-3,5) , then (Abscissa of P)-(Abscissa of Q) is

If P be a point equidistant from points A (3,4) and B (5,-2) and area of DeltaPAB is 10 square units, then find the co-ordinates of point P.

The coordinates of points P, Q, R and S are (-3, 5), (4, -2), (p, 3p) and (6, 3) respectively, and the ares of DeltaPQR and DeltaQRS are in ratio 2:3. Find p .

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the orthocentre of Delta A B C with vertices A(1,0),B(-2,1), ...

    Text Solution

    |

  2. If (b2-b1)(b3-b1)+(a2-a1)(a3-a1)=0 , then prove that the circumcente...

    Text Solution

    |

  3. If line 3x-a y-1=0 is parallel to the line (a+2)x-y+3=0 then find ...

    Text Solution

    |

  4. If A(2,-1)a n dB(6,5) are two points, then find the ratio in which ...

    Text Solution

    |

  5. Angle of a line with the positive direction of the x-axis is theta ...

    Text Solution

    |

  6. Let A(6,4)a n dB(2,12) be two given point. Find the slope of a line ...

    Text Solution

    |

  7. If the points (a, 0), (b,0), (0, c), and (0, d) are concyclic (a, b, c...

    Text Solution

    |

  8. If A(-2,1),B(2,3)a n dC(-2,-4) are three points, find the angle betwee...

    Text Solution

    |

  9. The line joining the points (x ,2x)a n d(3,5) makes an obtuse angle...

    Text Solution

    |

  10. If the line passing through (4,3)a n d(2,k) is parallel to the line...

    Text Solution

    |

  11. Find the area of the pentagon whose vertices are A(1,1),B(7,21),C(7,-3...

    Text Solution

    |

  12. Let A=(3,4) and B is a variable point on the lines |x| =6. IF A Blt...

    Text Solution

    |

  13. The three points (-2,2)(8,-2),a n d(-4,-3) are the vertices of (a) ...

    Text Solution

    |

  14. The points (-a ,-b),(a , b),(a^2,a b) are (a) vertices of an equ...

    Text Solution

    |

  15. The distance between the point (acosalpha,asinalpha) and (acosbeta,asi...

    Text Solution

    |

  16. Find the length of altitude through A of the triangle A B C , where...

    Text Solution

    |

  17. If the coordinates of two points A and B are (3, 4) and (5,-2) , re...

    Text Solution

    |

  18. If the point (0,0),(2,2sqrt(3)), and (p,q) are the vertices of an eq...

    Text Solution

    |

  19. Given points P(2,3),Q(4,-2),a n dR(alpha,0) (i) Find the value of ...

    Text Solution

    |

  20. If the vertices of a triangle have rational coordinates, then prove...

    Text Solution

    |