Home
Class 10
MATHS
The coordinates of A ,\ B ,\ C are (6...

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|` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|32 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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 P are (6, 3), (-3, 5), (4, -2) and (x, y) respectively, prove that (DeltaPBC)/ (Delta ABC) = (x+y-2)/7

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 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.

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-COORDINATE GEOMETRY-All Questions
  1. Find k so that the point P(-4,\ 6) lies on the line segment join...

    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) and (4,\ -2) ...

    Text Solution

    |

  4. If the points A(1,\ -2),\ \ B(2,\ 3),\ \ C(-3,\ 2) and D(-4,\ -3) a...

    Text Solution

    |

  5. If the points P(-3,\ 9),\ \ Q(a ,\ b) and R(4,\ -5) are collinea...

    Text Solution

    |

  6. Find the area of the triangle whose vertices are (6,\ 3),\ (-3,\ 5)...

    Text Solution

    |

  7. Find the area of the quadrilateral whose vertices are (-3,\ 2),\ (5...

    Text Solution

    |

  8. Find the area of the quadrilateral whose vertices taken in order are ...

    Text Solution

    |

  9. Find the area of the quadrilateral whose vertices are (-4,\ -2),\ (...

    Text Solution

    |

  10. The four vertices of a quadrilateral are (1,\ 2),\ (-5,\ 6),\ (7,\ ...

    Text Solution

    |

  11. The vertices of A B C are (-2,\ 1),\ (5,\ 4) and (2,\ -3) respecti...

    Text Solution

    |

  12. Show that the following sets of points are collinear. (2,\ 5),\ (4,...

    Text Solution

    |

  13. Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are colline...

    Text Solution

    |

  14. The area of a triangle is 5. Two of its vertices are (2,\ 1) and (3...

    Text Solution

    |

  15. Four points A(6,\ 3),\ \ B(-3,\ 5),\ \ C(4,\ -2) and D(x ,\ 3x) are...

    Text Solution

    |

  16. For what value of a the point (a ,\ 1),\ (1,\ -1) and (11 ,\ 4) are...

    Text Solution

    |

  17. Prove that the points (a ,\ b),\ (a1,\ b1) and (a-a1,\ b-b1) are ...

    Text Solution

    |

  18. If (x ,\ y) be on the line joining the two points (1,\ -3) and (-4,...

    Text Solution

    |

  19. Find the value of k if points (k ,\ 3),\ (6,\ -2) and (-3,\ 4) are ...

    Text Solution

    |

  20. Find the value of k , if the points A(7,\ -2),\ \ B(5,\ 1) and C...

    Text Solution

    |