Questions in st-line

Select	Question
	Locus of the points which are at equal distance from $3x+4y-11=0$and $12x+5y+2=0$and which is near the origin is
	A point moves such that its distance from the point $(4,\,0)$is half that of its distance from the line $x=16$. The locus of this point is
	The locus of a point so that sum of its distance from two given perpendicular lines is equal to 2 unit in first quadrant, is
	If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is
	If a variable line drawn through the point of intersection of straight lines $\frac{x}{\alpha }+\frac{y}{\beta }=1$and $\frac{x}{\beta }+\frac{y}{\alpha }=1$ meets the coordinate axes in A and B, then the locus of the mid point of $AB$ is
	The point moves such that the area of the triangle formed by it with the points (1, 5) and (3, –7) is 21 sq. unit. The locus of the point is
	A straight line through the point (1, 1) meets the x-axis at ‘A’ and the y-axis at ‘B’. The locus of the mid-point of AB is
	If A is (2, 5), B is (4, –11) and C lies on $9x+7y+4=0$, then the locus of the centroid of the $\Delta ABC$ is a straight line parallel to the straight line is