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|` .

Text Solution

Verified by Experts

The correct Answer is:
`(|x+y-2|)/(7)`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 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 PBC and ABC is |(x+y-2)/(7)|

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 areas of the triangles DeltaPBC and DeltaABC is |(x+y-2)/(7)| .

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 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 two points A and B are (3, 4) and (5, -2) repectively. Find the coordinates of any point P if PA = PB and area of Delta APB is 10.

The coordinates of points A,B,C and D are (6,3),(-3,5),(4,-2) and (x,3x) respectively and ( Areaof Delta DBC)/( Areaof Delta ABC)=(1)/(2) find x