Home
Class 11
MATHS
A(5,3), B(3,-2) are two fixed points; fi...

`A(5,3), B(3,-2)` are two fixed points; find the equation to the locus of a point `P` which moves so that the area of the triangle `P A B` is 9 units.

Text Solution

AI Generated Solution

To find the equation of the locus of a point \( P \) such that the area of triangle \( PAB \) is 9 units, we can follow these steps: ### Step 1: Identify the points Let the coordinates of point \( P \) be \( (h, k) \). The fixed points are given as: - \( A(5, 3) \) - \( B(3, -2) \) ### Step 2: Use the area formula for a triangle ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA|Exercise Solved Examples And Exercises|228 Videos
  • COMBINATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|117 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the locus of a point which moves so that the difference of its distances from the points (3, 0) and (-3, 0) is 4 units.

Find the equation to the locus of a point which moves so that the sum of its distances from (3,0) and (-3,0) is less than 9.

A (5, 3) and B (3, -2) are two fixed points. Find the equation of locus of P, so that the area of triangle PAB is 9 sq. Units.

A(2,3),B(2,-3) are two points.The equation to the locus of P. such that PA+PB=8

If A(-1,1) and B(2,3) are two fixed points, find the locus of a point P so that the area of PAB=8sq units.

Let A(0,-4) and B(0,4) be two fixed points. Find the locus of a point P which moves so that PA+PB=12 .

If A(1,3) and B(2,1) are points,find the equation of the locus of point P such that PA=PB

If A and B are two fixed points,then the locus of a point which moves in such a way that the angle APB is a right angle is

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

Find the equation of the set of points P which moves so that its distances from the points A(3,4,-5) and B(-2,1,4) are equal.

RD SHARMA-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-Solved Examples And Exercises
  1. Find the locus of a point such that the sum of its distances from the ...

    Text Solution

    |

  2. Find the locus of the mid-point of the portion of the line xcosalpha+y...

    Text Solution

    |

  3. A(5,3), B(3,-2) are two fixed points; find the equation to the locus o...

    Text Solution

    |

  4. Show that four points (0,-1),(6,7),(-2,3)a n d(8,3) are the vertices o...

    Text Solution

    |

  5. If the segments joining the points A(a , b)a n d\ B(c , d) subtends an...

    Text Solution

    |

  6. The vertices of a triangle are A(1,1),\ B(4,5)a n d\ C(6, 13)dot Find ...

    Text Solution

    |

  7. If the vertices of a triangle having integral coordinates . Prove that...

    Text Solution

    |

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

    Text Solution

    |

  9. The coordinates of A ,B ,C are (6,3),(-3,5),(4,-2) , respectively, and...

    Text Solution

    |

  10. Find the coordinates of points lying on the line joining P(3,-4) and Q...

    Text Solution

    |

  11. Determine the ratio in which the line 3x+y-9=0 divides the segment ...

    Text Solution

    |

  12. Prove that: (4,-1) , (6,0) , (7,2) and (5,1)  are the vertices o a rh...

    Text Solution

    |

  13. if the coordinates of the mid points of the Sides of a triangle are (...

    Text Solution

    |

  14. Two vertices of a triangle are (3,-5)a n d(-7,4)dot If its centroid is...

    Text Solution

    |

  15. If the line segment joining the points P(x1, y1)a n d\ Q(x2, y2) subte...

    Text Solution

    |

  16. Four points A(6,3),\ B(-3,5),\ C(4,-2)a n d\ D(x ,3x) are given in s...

    Text Solution

    |

  17. The points A(2,0),\ B(9,1),\ C(11 ,6)a n d\ D(4,4) are the vertices...

    Text Solution

    |

  18. Find the coordinates of the centre of the circle inscribed in a triang...

    Text Solution

    |

  19. The base of an equilateral triangle with side 2a lies along the y-ax...

    Text Solution

    |

  20. Find the distance between P(x1,\ y1)a n d\ Q(x2, y2) when i. P Q is p...

    Text Solution

    |