1
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If f(x + y) = f(x)f(y) and $$\sum\limits_{x = 1}^\infty {f\left( x \right)} = 2$$ , x, y $$ \in $$ N, where N is the set of all natural number, then the value of $${{f\left( 4 \right)} \over {f\left( 2 \right)}}$$ is :
A
$${2 \over 3}$$
B
$${1 \over 9}$$
C
$${1 \over 3}$$
D
$${4 \over 9}$$
2
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If {p} denotes the fractional part of the number p, then
$$\left\{ {{{{3^{200}}} \over 8}} \right\}$$, is equal to :
A
$${5 \over 8}$$
B
$${7 \over 8}$$
C
$${1 \over 8}$$
D
$${3 \over 8}$$
3
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Which of the following points lies on the locus of the foot of perpedicular drawn upon any tangent to the ellipse,
$${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$
from any of its foci?
A
$$\left( { - 1,\sqrt 3 } \right)$$
B
$$\left( { - 2,\sqrt 3 } \right)$$
C
$$\left( { - 1,\sqrt 2 } \right)$$
D
$$\left( {1,2 } \right)$$
4
JEE Main 2020 (Online) 6th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
$$\mathop {\lim }\limits_{x \to 1} \left( {{{\int\limits_0^{{{\left( {x - 1} \right)}^2}} {t\cos \left( {{t^2}} \right)dt} } \over {\left( {x - 1} \right)\sin \left( {x - 1} \right)}}} \right)$$
A
is equal to 0
B
is equal to $${1 \over 2}$$
C
does not exist
D
is equal to $$ - {1 \over 2}$$
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