1
JEE Main 2020 (Online) 4th September Evening Slot
Numerical
+4
-0
Let {x} and [x] denote the fractional part of x and
the greatest integer $$\le$$ x respectively of a real
number x. If $$\int_0^n {\left\{ x \right\}dx} ,\int_0^n {\left[ x \right]dx}$$ and 10(n2 – n),
$$\left( {n \in N,n > 1} \right)$$ are three consecutive terms of a G.P., then n is equal to_____.
2
JEE Main 2020 (Online) 2nd September Evening Slot
Numerical
+4
-0
Let [t] denote the greatest integer less than or equal to t.
Then the value of $$\int\limits_1^2 {\left| {2x - \left[ {3x} \right]} \right|dx}$$ is ______.
3
JEE Main 2020 (Online) 2nd September Morning Slot
Numerical
+4
-0
The integral $$\int\limits_0^2 {\left| {\left| {x - 1} \right| - x} \right|dx}$$
is equal to______.
4
JEE Main 2020 (Online) 8th January Evening Slot
Numerical
+4
-0
Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has a critical point at x = 1. Then ƒ(x) has a local minima at x = _______.
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