Let `S(x,y)=y^4-x^2`. Consider integral points lyingon the curve `|x| + |y| = 5`. Then which of the following is are true?

For the curve C:y=e^(2x)cos x, which of the following statement(s) is/are true?

Consider the circle x^(2) + y^(2) – 2x – 2y – 14=0 , which of following is/are true :

For the ellipse 4x^(2)+5y^(2)-16x-30y+60=0 , which of the following is true ?

A point on the curve y= x^(3)-3x + 5 at which the tangent line is parallel to y= -2x is

Find the point on the curve y=x^(2)-11x+5 at which the tangent is y=x-11.

Let RR be the set of all real numbers. Consider the following subsets of the plane RRxxRR :S = { (x,y) : y=x+1 and 0 lt x lt 2 } and T = { (x,y) : x-y is an integer }. Then which of the following is true ?