1.

Two of the vertices of a triangle ABC and A (1,1) B-1,3) and the area of Delta ABC is 6 sq units. If P is the centroid of the Delta ABC, then find the locus of P.

Answer»

`2X - y + 1 = 0`
`2x - y - 3 = 0`
`2x + y + 3 = 0`
Both (a) and (B)

SOLUTION :As P is the centroid of `DELTA ABC`, area of `Delta PAB` is `(1)/(3)` area of `Delta ABC`
Area of `Delta PAB` is given by
`(1)/(2) |{:(x_(1) - x_(2),x_(2) - x_(3)),(y_(1) - y_(2),y_(2) - y_(3)):}|`


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