1
JEE Main 2021 (Online) 31st August Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language
The square of the distance of the point of intersection

of the line $${{x - 1} \over 2} = {{y - 2} \over 3} = {{z + 1} \over 6}$$ and the plane $$2x - y + z = 6$$ from the point ($$-$$1, $$-$$1, 2) is __________.
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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 ___________.
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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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