Consider a variable line `L` which passes through the point of intersection `P` of the lines `3x + 4y = 12` and `x +2y - 5 = 0` meeting the coordinate axes at points `A` and `B.` Then

Consider a variable line L which passes through the point of intersection P of the line 3x+4y-12=0 and x+2y-5=0 meetingt the coordinate axes at point A and B. Locus of the feet of the perpendicular from the origin on the variable line L has the equation

Consider a variable line L which passes through the point of intersection P of the line 3x+4y-12=0 and x+2y-5=0 meetingt the coordinate axes at point A and B. Locus of the centroid of the variable triangle OAB has the equation (where O is origin )

Consider a variable line L which passes through the point of intersection P of the line 3x+4y-12=0 and x+2y-5=0 meetingt the coordinate axes at point A and B. Locus of the middle point of the segment AB has the eqution

the lines 3x + 4y 12 and Consider a variable line L which passes through the point of intersection P of x + 2y-5 = 0 meeting the coordinate axes at points A and B. Then 5 4. · locus of middle point°f segment AB has the equation?+x-4 2(x2 + y2) = 4x + 3y locus of centroid of the variable triangle OAB has the equation (where O is origin)-+-6 (A) (B) locus of the feet of the perpendicular from the origin on the variable line L has the equation (C) (D) locus of middle point of segment AB has the equation 8 3

A straight line through the point of intersection of the lines x + 2y = 4 and 2 x + y = 4 meets the coordinate axes at A and B .the locus of the midpoint of AB is _

A straight line through the point of intersection of the lines x+2y = 4 and 2x +y =4 meets the coordinates axes at A and B. The locus of the midpoint of AB is

The coordinates of the point of intersection of the lines 3x+4y-18=0 and 4x-5y+7=0 are

If a circle passes through the points of intersection of the axes with the lines ax-y+1=0 and x-2y+3=0 then a=