Show that the equation
`(x^(2))/(9-c)+(y^(2))/(5-c)=1` represents.
An ellipse if 'c' is a real constant less than 5.

(i) Show that the equation (x^(2))/(9-c) +(y^(2))/(5-c)=1 represents (a) an ellipse if c is a real constant less than 5 (b) a hyperbola if c is any real constant between 5 and 9. (ii) Show that each ellipse in (a) and each hyperbola in (b) has foci at the two points (pm2, 0) independent of the value of c.

If the equation (x^(2))/(9-k)+(y^(2))/(5-k)=1 represents an ellipse then

The equation (x^(2))/(10-k)+(y^(2))/(k-4)=1 represents an ellipse if

Show that the equation (x^(2))/(9-c)+(y^(2))/(5-c)=1 represents. A hyperbola if c is any real constant between 5 and 9.

The equation x^(2)/(r-2)+y^(2)/(5-r)= 1 represents an ellipse if

The equation x^2/(10-a)+y^2/(4-a)=1 represents an ellipse then show that a lt 4