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Byju's Answer
Standard XII
Mathematics
Equation of Tangent at a Point (x,y) in Terms of f'(x)
Slope of the ...
Question
Slope of the common tangent to the ellipses
x
2
a
2
+
b
2
+
y
2
b
2
=
1
,
x
2
a
2
+
y
2
a
2
+
b
2
=
1
is:
A
2
a
b
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B
2
b
a
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C
a
b
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D
b
a
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Solution
The correct option is
B
a
b
Condition of common tangent will be
c
2
=
(
a
2
+
b
2
)
m
2
+
b
2
=
a
2
m
2
+
(
a
2
+
b
2
)
Therefore,
m
2
=
a
2
b
2
⇒
m
=
a
b
Ans: C
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