Question

The area of `Delta ABC` is 2 sq. units. If A = (, 4) and B (4,4) then find the locus of C (x,y)
A. `y - 6 = 0`
B. `y - 2 = 0`
C. Both (A) and (B)
D. None of these

Answer 1

Correct Answer - C
Area of A (2,4), B(4,4) and C(x,y) is 2 sq. units
`(1)/(2) |{:(2-4,4-x),(4-4,4-y):}| = 2`
`|{:(-2,4-x),(0,4-Y):}| = 4 implies |2Y - 8| = 4`
`implies |Y = 4| = 2 implies Y - 4 +- 2`
`implies Y - 6 = 0` or `Y - 2 = 0`