If the distance of any point P(x,y) from the point `Q(x_(1),y_(1))` is given by `d(P,Q)=max.{|x-x_(1)|,|y-y_(1)|}` .If Q=(1,2) and d(P,Q)=3 ,then the locus of P is

Theorem: The distance between two points P(x_(1);y_(1)) and Q(x_(2);y_(2)) is given by sqrt(x_(-)2-x_(-)1)^(^^)2+(y_(-)2-y_(-)1)^(^^)2)

Find the distance between points P(x_1, y_1) and Q(x_2, y_2) : PQ is parallel to y-axis

Find the distance between points P(x_1, y_1) and Q(x_2, y_2) : PQ is parallel to x-axis

Find the distance between the points P(x_(1),y_(1),z_(1)) and Q(x_(2),y_(2),z_(2))

If x^(1/p)=y^(1/q)=z^(1/r) and xyz=1, then the value of p+q+r=

For points P-=(x_1,y_1) and Q-=(x_2,y_2) of the coordinates plane, a new distance d (P,Q) is defined by d(P,Q) =|x_1-x_2|+|y_1-y_2| . Let O-=(0,0) and A-=(3,2) . Consider the set of points P in the first quadrant which are equidistant (with respect to the new distance) from O and A. The area of the ragion bounded by the locus of P and the line y=4 in the first quadrant is

For points P-=(x_1,y_1) and Q-=(x_2,y_2) of the coordinates plane, a new distance d (P,Q) is defined by d(P,Q) =|x_1-x_2|+|y_1-y_2| . Let O-=(0,0) and A-=(3,2) . Consider the set of points P in the first quadrant which are equidistant (with respect to the new distance) from O and A. The set of poitns P consists of