Let A and B have coordinates `(x_1,y_1)` and `(x_2,y_2)` respectively. We define the distance between A and B as d(A,B) =max||x_2-x_1|,|y_2-y_1||` If `d(A,O)=1` where O is the origin then locus of A has an area of

Let A and B have coordinates (x_(1) , y_(1)) and (x_(2) , y_(2)) respectively . We define the distance between A and B as d (A , B) = max {|x_(2) - x_(1)| , |y_(2) - y_(1)|} If d ( A, O) = 1 , where O is the origin , then the locus of A has an area of

Let A and B have coordinates (x_(1) , y_(1)) and (x_(2) , y_(2)) respectively . We define the distance between A and B as d (A , B) = max {|x_(2) - x_(1)| , |y_(2) - y_(1)|} If d ( A, O) = 1 , where O is the origin , then the locus of A has an area of

If the coordinates of any two points Q_1 and Q_2 are (x_1,y_1) and (x_2,y_2) , respectively, then prove that OQ_1xxOQ_2cos(angleQ_1OQ_2)=x_1x-2+y-1y_2 , whose O is the origin.

If O is origin,A(x_(1),y_(1)) and B(x_(2),y_(2)) then the circumradius of Delta AOB 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 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 area of the ragion bounded by the locus of P and the line y=4 in the first quadrant is

If the distance of any point (x,y) from origin is defined as d(x,y)=max{|x|,|y|}, then the locus of the point (x,y) where d(x,y)=1 is

If the distance of any point (x,y) from origin is defined as d(x,y)=max{|x|,|y|} , then the locus of the point (x,y) where d(x,y)=1 is