Home
Class 12
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|` .

A

7

B

`-2`

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise Level -2|43 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise Level -2 Passage|5 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise Level - 0 (True or False)|7 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 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.

VMC MODULES ENGLISH-STRAIGHT LINES-Level -1
  1. Statement 1: The vertices of a triangle are (1,2), (2,1) and {1/2(3+sq...

    Text Solution

    |

  2. Statement 1 : The equation of the sides of a triangle are x - 3y = 0, ...

    Text Solution

    |

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

    Text Solution

    |

  4. The equation straight line such that the portion of it intercepted bet...

    Text Solution

    |

  5. A line passes through the point (-2, 6) and portion of the line inter...

    Text Solution

    |

  6. The equation of straight line such that it passes through point (12,-1...

    Text Solution

    |

  7. The equation of the sides of a triangle, the coordinates of whose angu...

    Text Solution

    |

  8. The points (a t1^2, 2 a t1),(a t2^2, 2a t2) and (a ,0) will be colline...

    Text Solution

    |

  9. The midpoints of the sides BC, CA and AB of a triangle ABC are D(2,1),...

    Text Solution

    |

  10. The intercept cut off from Y-axis is twice that from X-axis by the lin...

    Text Solution

    |

  11. Find the equations of the line which passes through the point (3,4) an...

    Text Solution

    |

  12. Find the distance of the point (2,3) from the line 2x-3y+9=0 measured ...

    Text Solution

    |

  13. A line passes through point P(4,5) and makes 30^@ with X-axis. Then th...

    Text Solution

    |

  14. The equation of a line in parametric form is given by:

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. The equation of a line through the point (1, 2) whose distance from th...

    Text Solution

    |

  17. Statement 1: Lines 3x+4y+6=0,sqrt(2)x+sqrt(3)y+2sqrt(2)=0 and 4x+7y+8...

    Text Solution

    |

  18. Find the equations of the two straight lines through (7,9) and making ...

    Text Solution

    |

  19. If points (1, 1) and (-3,5) are vertices of a diagonal of a square, t...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |