1
JEE Main 2020 (Online) 4th September Evening Slot
Numerical
+4
-0
Change Language
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 _____.
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2
JEE Main 2020 (Online) 3rd September Morning Slot
Numerical
+4
-0
Change Language
The diameter of the circle, whose centre lies on the line x + y = 2 in the first quadrant and which touches both the lines x = 3 and y = 2, is _______ .
Your input ____
3
JEE Main 2020 (Online) 2nd September Morning Slot
Numerical
+4
-0
Out of Syllabus
Change Language
The number of integral values of k for which the line, 3x + 4y = k intersects the circle,
x2 + y2 – 2x – 4y + 4 = 0 at two distinct points is ______.
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4
JEE Main 2020 (Online) 9th January Evening Slot
Numerical
+4
-0
Change Language
If the curves, x2 – 6x + y2 + 8 = 0 and
x2 – 8y + y2 + 16 – k = 0, (k > 0) touch each other at a point, then the largest value of k is ______.
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