Home
Class 11
MATHS
The coordinates of A ,B ,C are (6,3),(-3...

The coordinates of `A ,B ,C` are `(6,3),(-3,5),(4,-2)` , respectively, and `P` is any point `(x ,y)` . Show that the ratio of the area of ` P B C` to that of ` A B C` is `(|x+y-2|)/7dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos
  • COMBINATIONS

    RD SHARMA ENGLISH|Exercise All Questions|117 Videos

Similar Questions

Explore conceptually related problems

The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) respectively and P is any point (x ,\ y) . Show that the ratio of the areas of triangles P B C and A B C is |(x+y-2)/7| .

The coordinates of points A, B, C and P are (6, 3), (-3, 5), (4, -2) and (x, y) respectively, prove that (DeltaPBC)/ (Delta ABC) = (x+y-2)/7

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 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.

The coordinates of points A,B,C and D are (-3, 5), (4, -2), (x, 3x) and (6, 3) respectively and Area of (Delta ABC)/(Delta BCD)=(2)/(3) ,find x.

If A(6, 3), B(3, 5), C(4, 2), P (alpha, beta) , then the ratio of the areas of the triangles PBC, ABC is

In A B C , P divides the side A B such that A P : P B=1:2 . Q is a point in A C such that P Q B C . Find the ratio of the areas of A P Q and trapezium B P Q C .

A plane meets the coordinate axes in A ,B ,C such that the centroid of triangle A B C is the point (p ,q ,r)dot Show that the equation of the plane is x/p+y/q+z/r=3.

RD SHARMA ENGLISH-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-All Questions
  1. If the vertices of a triangle having integral coordinates . Prove that...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Find a point on the x-axis, which is equidistant from the point (7,...

    Text Solution

    |

  16. Find the equation to the locus of a point which moves so that the s...

    Text Solution

    |

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

    Text Solution

    |

  18. A rod of length l slides with its ends on two perpendicular lines. ...

    Text Solution

    |

  19. If O is the origin and Q is a variable points on x^2=4ydot Find the ...

    Text Solution

    |

  20. Find the locus of a point equidistant from the point (2,4) and the ...

    Text Solution

    |