1
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
A point z moves in the complex plane such that $$\arg \left( {{{z - 2} \over {z + 2}}} \right) = {\pi \over 4}$$, then the minimum value of $${\left| {z - 9\sqrt 2 - 2i} \right|^2}$$ is equal to _______________.
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2
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
If 'R' is the least value of 'a' such that the function f(x) = x2 + ax + 1 is increasing on [1, 2] and 'S' is the greatest value of 'a' such that the function f(x) = x2 + ax + 1 is decreasing on [1, 2], then
the value of |R $$-$$ S| is ___________.
Your input ____
3
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
The mean of 10 numbers 7 $$\times$$ 8, 10 $$\times$$ 10, 13 $$\times$$ 12, 16 $$\times$$ 14, ....... is ____________.
Your input ____
4
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Change Language
If the variable line 3x + 4y = $$\alpha$$ lies between the two
circles (x $$-$$ 1)2 + (y $$-$$ 1)2 = 1
and (x $$-$$ 9)2 + (y $$-$$ 1)2 = 4, without intercepting a chord on either circle, then the sum of all the integral values of $$\alpha$$ is ___________.
Your input ____
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