The number of rational points on the circle `x^2+(y-sqrt3)^2=4` must be[Rational points are points whose both co-ordinates are rational]

Let p,q be chosen one by one from the set {1, sqrt(2),sqrt(3), 2, e, pi} with replacement. Now a circle is drawn taking (p,q) as its centre. Then the probability that at the most two rational points exist on the circle is (rational points are those points whose both the coordinates are rational)

Let p,q be chosen one by one from the set {1, sqrt(2),sqrt(3), 2, e, pi} with replacement. Now a circle is drawn taking (p,q) as its centre. Then the probability that at the most two rational points exist on the circle is (rational points are those points whose both the coordinates are rational)

Let p,q be chosen one by one from the set {1, sqrt(2),sqrt(3), 2, e, pi} with replacement. Now a circle is drawn taking (p,q) as its centre. Then the probability that at the most two rational points exist on the circle is (rational points are those points whose both the coordinates are rational)

Find the number of rational points on the ellipse (x^2)/9+(y^2)/4=1.

Find the number of rational points on the ellipse (x^2)/9+(y^2)/4=1.

Find the number of rational points on the ellipse (x^2)/9+(y^2)/4=1.

Find the number of rational points on the ellipse (x^2)/9+(y^2)/4=1.

The number of integral points on the hyperbola x^2-y^2= (2000)^2 is (an integral point is a point both of whose co-ordinates are integer) (A) 98 (B) 96 (C) 48 (D) 24

The number of integral points on the hyperbola x^2-y^2= (2000)^2 is (an integral point is a point both of whose co-ordinates are integer) (A) 98 (B) 96 (C) 48 (D) 24