Question

A(2,3) and B(-3,4) are two given points ..find the equation of locus of P ,so that the area of triangle PAB is 8.5​

Answer 1

Step-by-step explanation:

let coordinate of p be (x,y)

area of triangle

|

| x. y. 1. |

=1/2 |. 2. 3. 1. |. =. 8.5

| -3. 4. 1. |

=1/2 [ x(3-4) - y(2+3) + 1(8+6)] = 8.5

-x - 5y + 14 = 17

x + 5y +3 = 0 is required locus of the point P fulfilling the given condition.