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The point A divides the join of P(-5,1) and Q(3,5) in the ratio k:1. Find the two values of k for which the area of triangle ABC, where B is (1.5) and C is (7,-2), is equal to 2 units. plz provide solution also.

The point A divides the join of P(-5,1) and Q(3,5) in the ratio k:1. Find the two values of k for which the area of triangle ABC, where B is (1.5) and C is (7,-2), is equal to 2 units.


plz provide solution also.

Grade:11

1 Answers

gOlU g3n|[0]uS
42 Points
13 years ago

ans   let coordinates of A(x,y)

           then,   x=  k(3)+1(-5)/k+1

                     y=  k(5) + 1(1)/k+1

      THEN APPLY DETERMINANT AND SOLVE          

                 |  x    y     1    |

                 |  1    5     1    |    = 2

                 |  7   -2     1    |

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