Question

If PAB is a triangle of area 4 sq. units and A is (2,5) and B is (3,4) then part of the locus of P is _______
A. `x - y + 15 =0`
B. `x - y - 15 = 0`
C. `x + y - 15 = 0`
D. `x + y + 15 = 0`

Answer 1

Correct Answer - C
(i) Given, area of a triangle ABC = 4
`implies (1)/(2) |{:(x_(1) - x_(2),x_(2) - x_(3)),(y_(1) - y_(2),y_(2) - y_(3)):}| = 4`
(ii) Subtitute `(x_(2), y_(2)) = (2, 5)` and `(x_(3), y_(3)) = (3, 4)` and obtain the relation.