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Byju's Answer
Standard XII
Mathematics
Slope Form of Tangent: Hyperbola
If the line 2...
Question
If the line
25
x
+
12
y
−
45
=
0
meets the hyperbola
25
x
2
−
9
y
2
=
225
only at point
(
a
,
−
5
λ
3
)
,
then the value of
a
+
λ
is
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Solution
The equation ofgiven line is
25
x
+
12
y
−
45
=
0
,
⇒
y
=
−
25
12
x
+
15
4
∵
point of contact is
(
−
a
2
m
c
,
−
b
2
c
)
≡
(
5
,
−
20
3
)
∴
−
5
λ
3
=
−
20
3
⇒
λ
=
4
,
a
=
5
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2
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Q.
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Slope Form of Tangent: Hyperbola
Standard XII Mathematics
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