1
JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
Change Language
The maximum value of z in the following equation z = 6xy + y2, where 3x + 4y $$ \le $$ 100 and 4x + 3y $$ \le $$ 75 for x $$ \ge $$ 0 and y $$ \ge $$ 0 is __________.
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2
JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language
If the equation of the plane passing through the line of intersection of the planes 2x $$-$$ 7y + 4z $$-$$ 3 = 0, 3x $$-$$ 5y + 4z + 11 = 0 and the point ($$-$$2, 1, 3) is ax + by + cz $$-$$ 7 = 0, then the value of 2a + b + c $$-$$ 7 is ____________.
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3
JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
Out of Syllabus
Change Language
If $$A = \left[ {\matrix{ 2 & 3 \cr 0 & { - 1} \cr } } \right]$$, then the value of det(A4) + det(A10 $$-$$ (Adj(2A))10) is equal to _____________.
Your input ____
4
JEE Main 2021 (Online) 17th March Morning Shift
Numerical
+4
-1
Change Language
If [ . ] represents the greatest integer function, then the value of


$$\left| {\int\limits_0^{\sqrt {{\pi \over 2}} } {\left[ {[{x^2}] - \cos x} \right]dx} } \right|$$ is ____________.
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