1
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 ________
2
JEE Main 2021 (Online) 24th February Evening Shift
Numerical
+4
-1
Out of Syllabus
If the area of the triangle formed by the positive x-axis, the normal and the tangent to the circle (x $$-$$ 2)2 + (y $$-$$ 3)2 = 25 at the point (5, 7) is A, then 24A is equal to _________.
3
JEE Main 2021 (Online) 24th February Morning Shift
Numerical
+4
-1
If one of the diameters of the circle x2 + y2 - 2x - 6y + 6 = 0 is a chord of another circle 'C', whose center is at (2, 1), then its radius is ________.
4
JEE Main 2020 (Online) 4th September Evening Slot
Numerical
+4
-0
Let PQ be a diameter of the circle x2 + y2 = 9. If $$\alpha$$ and $$\beta$$ are the lengths of the perpendiculars from P and Q on the straight line,
x + y = 2 respectively, then the maximum value of $$\alpha\beta$$ is _____.