1
JEE Main 2021 (Online) 27th August Morning Shift
Numerical
+4
-1
Out of Syllabus
Let the equation x2 + y2 + px + (1 $$-$$ p)y + 5 = 0 represent circles of varying radius r $$\in$$ (0, 5]. Then the number of elements in the set S = {q : q = p2 and q is an integer} is __________.
2
JEE Main 2021 (Online) 26th August Morning Shift
Numerical
+4
-1
The locus of a point, which moves such that the sum of squares of its distances from the points (0, 0), (1, 0), (0, 1), (1, 1) is 18 units, is a circle of diameter d. Then d2 is equal to _____________.
3
JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
Out of Syllabus
The minimum distance between any two points P1 and P2 while considering point P1 on one circle and point P2 on the other circle for the given circles' equations

x2 + y2 $$-$$ 10x $$-$$ 10y + 41 = 0

x2 + y2 $$-$$ 24x $$-$$ 10y + 160 = 0 is ___________.
4
JEE Main 2021 (Online) 24th February Evening Shift
Numerical
+4
-1
Let a point P be such that its distance from the point (5, 0) is thrice the distance of P from the point ($$-$$5, 0). If the locus of the point P is a circle of radius r, then 4r2 is equal to ________
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