1
JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
Change Language
Let f(x) and g(x) be two functions satisfying f(x2) + g(4 $$-$$ x) = 4x3 and g(4 $$-$$ x) + g(x) = 0, then the value of $$\int\limits_{ - 4}^4 {f{{(x)}^2}dx} $$ is
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2
JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
Change Language
The missing value in the following figure is

JEE Main 2021 (Online) 18th March Morning Shift Mathematics - Permutations and Combinations Question 125 English
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3
JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
Change Language
Let z1, z2 be the roots of the equation z2 + az + 12 = 0 and z1, z2 form an equilateral triangle with origin. Then, the value of |a| is :
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4
JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
Change Language
The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If the mean age of the teachers in this school now is 39 years, then the age (in years) of the newly appointed teacher is _________.
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