1
JEE Main 2020 (Online) 7th January Morning Slot
Numerical
+4
-0
Change Language
$$\mathop {\lim }\limits_{x \to 2} {{{3^x} + {3^{3 - x}} - 12} \over {{3^{ - x/2}} - {3^{1 - x}}}}$$ is equal to_______.
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2
JEE Main 2020 (Online) 7th January Morning Slot
Numerical
+4
-0
Change Language
If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then m + n is equal to_____.
Your input ____
3
JEE Main 2020 (Online) 7th January Morning Slot
Numerical
+4
-0
Change Language
Let A(1, 0), B(6, 2) and C $$\left( {{3 \over 2},6} \right)$$ be the vertices of a triangle ABC. If P is a Point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas, then the length of the line segment PQ, where Q is the point $$\left( { - {7 \over 6}, - {1 \over 3}} \right)$$, is ________.
Your input ____
4
JEE Main 2020 (Online) 7th January Morning Slot
Numerical
+4
-0
Change Language
Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x $$ \in $$ R is not differentiable. Then $$\sum\limits_{x \in S} {f(f(x))} $$ is equal to_____.
Your input ____
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