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Byju's Answer
Standard XII
Mathematics
Slope Form of Tangent: Hyperbola
If y = mx +...
Question
If
y
=
m
x
+
c
touches the parabola
y
2
=
4
a
(
x
+
a
)
, then
a
m
+
a
m
is equal to
A
y
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B
x
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C
c
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D
None of these.
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Solution
The correct option is
C
c
Given: Prabola:
y
2
=
4
a
(
x
+
a
)
⟶
1
Tangent:
y
=
m
x
+
c
⟶
2
Condition of tangency
c
+
m
×
h
=
k
+
a
m
,
where
h
=
−
a
,
k
=
0
,
⇒
c
+
m
(
−
a
)
=
0
+
a
m
⇒
c
=
m
×
a
+
a
m
So,
a
×
m
+
a
m
=
c
.
Suggest Corrections
0
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