" The locus of the point "x=a+lambda^(2),quad y=b-lambda" where "lambda" is a parameter is "

The locus of the point x=a+lambda^(2),y=b-lambda where lambda is a parameter is

If the locus of the image of the point (lambda^(2), 2lambda) in the line mirror x-y+1=0 (where lambda is a parameter) is (x-a)^(2)=b(y-c) where a, b , c in I , then the value of ((a+b)/(c+b)) is equal to

Prove that the family of curves x^2/(a^2+lambda)+y^2/(b^2+lambda)=1 , where lambda is a parameter, is self orthogonal.

Find the locus of image of the variable point (lambda^(2), 2 lambda) in the line mirror x-y+1=0, where lambda is a parameter.

Find the locus of image of the veriable point (lambda^(2), 2 lambda) in the line mirror x-y+1=0, where lambda is a peremeter.

Find the locus of image of the veriable point (lambda^(2), 2 lambda) in the line mirror x-y+1=0, where lambda is a peremeter.

Find the locus of image of the veriable point (lambda^(2), 2 lambda) in the line mirror x-y+1=0, where lambda is a perimeter.

The locus of the point of intersection of lines (x)/(a)+(y)/(b)=lambda and (x)/(a)-(y)/(b)=(1)/(lambda), where lambda is a parameter, is