Mathematicon
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JEE Main Mock Test 5
Q 1 / 25
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Section A - MCQ
Hard
JEE Main 2021
Question 1
+4 marks
If
2
x
y
+
3
y
x
=
20
2 x^{y}+3 y^{x}=20
2
x
y
+
3
y
x
=
20
, then
d
y
d
x
\frac{d y}{d x}
d
x
d
y
at
(
2
,
2
)
(2,2)
(
2
,
2
)
is equal to :
A
−
(
3
+
log
e
16
4
+
log
e
8
)
-\left(\frac{3+\log _{e} 16}{4+\log _{e} 8}\right)
−
(
4
+
l
o
g
e
8
3
+
l
o
g
e
16
)
B
−
(
2
+
log
e
8
3
+
log
e
4
)
-\left(\frac{2+\log _{e} 8}{3+\log _{e} 4}\right)
−
(
3
+
l
o
g
e
4
2
+
l
o
g
e
8
)
C
−
(
3
+
log
e
8
2
+
log
e
4
)
-\left(\frac{3+\log _{e} 8}{2+\log _{e} 4}\right)
−
(
2
+
l
o
g
e
4
3
+
l
o
g
e
8
)
D
−
(
3
+
log
e
4
2
+
log
e
8
)
-\left(\frac{3+\log _{e} 4}{2+\log _{e} 8}\right)
−
(
2
+
l
o
g
e
8
3
+
l
o
g
e
4
)
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Section A - MCQ
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Section B - Numerical
1
2
3
4
5