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BITSAT 2017 Slot 2 Solved Paper
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© examsnet.com
Question : 131
Total: 150
If the curve
y
=
a
x
and
y
=
b
x
intersect at angle
α
, then
tan
α
is equal to
a
−
b
1
+
a
b
log
a
−
log
b
1
+
log
a
log
b
a
+
b
1
−
a
b
log
a
+
log
b
1
−
log
a
log
b
Validate
Solution:
Clearly, the point of intersection of curves is
(
0
,
1
)
.
Now, slope of tangent of first curve
m
1
=
d
y
d
x
=
a
x
log
a
⇒
(
d
y
d
x
)
(
a
,
1
)
=
m
1
=
log
a
Slope of tangent of second curve,
m
2
=
d
y
d
x
=
b
x
log
b
⇒
m
2
=
(
d
y
d
x
)
(
01
)
=
log
b
∴
tan
α
=
m
1
−
m
2
1
+
m
1
m
2
=
log
a
−
log
b
1
+
log
a
log
b
© examsnet.com
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