1
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
Consider the following frequency distribution :

Class : 0-6 6-12 12-18 18-24 24-30
Frequency : $$a $$ $$b$$ 12 9 5

If mean = $${{309} \over {22}}$$ and median = 14, then the value (a $$-$$ b)2 is equal to _____________.
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2
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
The sum of all the elements in the set {n$$\in$$ {1, 2, ....., 100} | H.C.F. of n and 2040 is 1} is equal to _____________.
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3
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
The area (in sq. units) of the region bounded by the curves x2 + 2y $$-$$ 1 = 0, y2 + 4x $$-$$ 4 = 0 and y2 $$-$$ 4x $$-$$ 4 = 0, in the upper half plane is _______________.
Your input ____
4
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
Change Language
Let f : R $$\to$$ R be a function defined as $$f(x) = \left\{ {\matrix{ {3\left( {1 - {{|x|} \over 2}} \right)} & {if} & {|x|\, \le 2} \cr 0 & {if} & {|x|\, > 2} \cr } } \right.$$

Let g : R $$\to$$ R be given by $$g(x) = f(x + 2) - f(x - 2)$$. If n and m denote the number of points in R where g is not continuous and not differentiable, respectively, then n + m is equal to ______________.
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