1
JEE Main 2021 (Online) 20th July Evening Shift
Numerical
+4
-1
Out of Syllabus
Change Language
Let $$\left\{ {{a_n}} \right\}_{n = 1}^\infty $$ be a sequence such that a1 = 1, a2 = 1 and $${a_{n + 2}} = 2{a_{n + 1}} + {a_n}$$ for all n $$\ge$$ 1. Then the value of $$47\sum\limits_{n = 1}^\infty {{{{a_n}} \over {{2^{3n}}}}} $$ is equal to ______________.
Your input ____
2
JEE Main 2021 (Online) 20th July Evening Shift
Numerical
+4
-1
Change Language
If $$\mathop {\lim }\limits_{x \to 0} {{\alpha x{e^x} - \beta {{\log }_e}(1 + x) + \gamma {x^2}{e^{ - x}}} \over {x{{\sin }^2}x}} = 10,\alpha ,\beta ,\gamma \in R$$, then the value of $$\alpha$$ + $$\beta$$ + $$\gamma$$ is _____________.
Your input ____
3
JEE Main 2021 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
If the Kinetic energy of a moving body becomes four times its initial Kinetic energy, then the percentage change in its momentum will be :
A
100%
B
200%
C
300%
D
400%
4
JEE Main 2021 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time t1. If he remains stationary on a moving escalator then the escalator takes him up in time t2. The time taken by him to walk up on the moving escalator will be :
A
$${{{t_1}{t_2}} \over {{t_2} - {t_1}}}$$
B
$${{{t_1} + {t_2}} \over 2}$$
C
$${{{t_1}{t_2}} \over {{t_2} + {t_1}}}$$
D
$${t_2} - {t_1}$$
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