" uves "xy^(2)=a^(2)(a-x)and(a-x)y^(2)=a^(2)x" is "lambda a^(2)" sq.units,where "lambda=-" (Assume "pi=" : "

Area bounded by the curve xy^(2)=a^(2)(a-x) and the y-axis is (pi a^(2))/(2) sq.units (b) pi a^(2)sq. units is 3 pi a^(2)sq. units (d) None of these

If (x+y)^(2)=2(x^(2)+y^(2)) and (xy+lambda)^(2)=4,lambda>0, then lambda is equal to

The area bounded by the curve y=x^(2) and y=(2)/(1+x^(2)) is lambda sq.units,then 2 the value of [lambda] is (A)2(B)3(C)4(D)5

Area enclosed by curves y^2-5xy+6x^2+3x-y=0 and y^2-5xy+6x^2+2x-y=0 is lambda sq units , then the value of lambda is

If (x+y)^(2)=2(x^(2)+y^(2)) and (x-y+lambda)^(2)=4,lambda>0 then lambda is equal to

The differential equation satisfying the curve (x^(2))/(a^(2)+lambda)+(y^(2))/(b^(2)+lambda)=1 where lambda be arbitary uknown, is (a) (x+yy_(1))(xy_(1)-y)=(a^(2)-b^(2))y_(1) (b) (x+yy_(1))(xy_(1)-y)=y_(1) ( c ) (x-yy_(1))(xy_(1)+y)(a^(2)-b^(2))y_(1) (d) None of these

If the curves C_(1):y=(In x)/(x) and C_(2):y=lambda x^(2) (where lambda is constant) touches each other,then the value of lambda is

2x^(2)+2y^(2)+2 lambda x+lambda^(2)=0 represents a circle for