1
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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2
JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
Change Language
If $$f(x) = \int {{{5{x^8} + 7{x^6}} \over {{{({x^2} + 1 + 2{x^7})}^2}}}dx,(x \ge 0),f(0) = 0} $$ and $$f(1) = {1 \over K}$$, then the value of K is
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3
JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
Change Language
A square ABCD has all its vertices on the curve x2y2 = 1. The midpoints of its sides also lie on the same curve. Then, the square of area of ABCD is _________.
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4
JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language
The number of solutions of the equation

$$|\cot x| = \cot x + {1 \over {\sin x}}$$ in the interval [ 0, 2$$\pi$$ ] is
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