If `S` ans `S'` are the foci, C is the center , and P is point on the rectangular hyperbola, show that `SP ×SP=(CP)^2`

If S ans S' are the foci,C is the center,and P is point on the rectangular hyperbola,show that SP xx SP=(CP)^(2)

If SandS' are the foci,C is the center,and P is a point on a rectangular hyperbola,show that SP xx S'P=(CP)^(2)

If P is any point on the hyperbola whose axis are equal,prove that SP.S'P=CP^(2).

Statement 1: If (3,4) is a point on a hyperbola having foci (3,0) and (lambda,0), the length of the transverse axis being 1 unit,then lambda can take the value 0 or 3. statement 2:|S'P-SP|=2a, where S and S' are the two foci,2a is the length of the transverse axis, and P is any point on the hyperbola.

If S.P of an article is Rs 8000 and loss is 1/5 of its C.P then find C.P.

If P (theta) is a point on the ellipse E (a gt b) , whose foci are S and S', then SP.S'P =

If C.P of an article is 80% of its SP then find the profit