Which of the following statements are true and which have are false? In each case give a valid reason for saying so `r :` Circle is a particular case of an ellipse `s :` `\ If\ x\ a n d\ y` are integers such that `x > y ,\ t h e n=-x<-ydot\ ` `t` : `sqrt(11)` is a rational number.

Explanation

iii) Given statement: circle is a particular case of an ellipse.

Equation of ellipse
`(x^2)/(a^2)+(y^2)/(b^2)=1`

If a=b then

`(x^2)/(a^2)+(y^2)/(b^2)=1`
`⇒x^2+y^2=a^2`

which is the equation of a circle.

⇒ circle is a particular case of ellipse.

(iv) Given statement : if x and y are integers such that `x>y ` then `−x←y`

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