Let `S={(x,y) in R^(2):(y^(2))/(1+r)-(x^(2))/(1-r)=1}`, where `r ne pm 1`. Then S represents:

Let P={(x,y)//x in R, y in R, x^(2)+y^(2)=1} , then P is

The equation (x^(2))/(1-r)+(y^(2))/(r-3)+1=0 represents an ellipse if :

The equation (x^(2))/(1-r)-(y^(2))/(1+r)=1,r>1 represents (a)an ellipse (b) a hyperbola (c)a circle (d) none of these

(x^(2))/(r^(2)-r-6)+(y^(2))/(r^(2)-6r+5)=1 will represent ellipse if r lies in the interval

(x^(2))/(r^(2)+r-6)+(y^(2))/(r^(2)-6r+5)=1 will represent the ellipse if r lies in the interval

(x^(2))/(r^(2)-r-6) +(y^(2))/(r^(2) - 6r + 5) = 1 will represents an ellipse if r lies in the interval _

Let R={(x,y):x^(2)+y^(2)=1,x,y in R} be a relation in R. Then the relation R is

"If "y^(1//m)=(x+sqrt(1+x^(2)))," then "(1+x^(2))y_(2)+xy_(1) is (where y_(r) represents the rth derivative of y w.r.t. x)

"If "y^(1//m)=(x+sqrt(1+x^(2)))," then "(1+x^(2))y_(2)+xy_(1) is (where y_(r) represents the rth derivative of y w.r.t. x)