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Find the condition for the line to touch the curve .
MATHEMATICS · Subjective · ISC · Mathematics · Calculus · Calculus
Problem
Find the condition for the line
x
cos
α
+
y
sin
α
=
p
x\cos\alpha+y\sin\alpha=p
x
cos
α
+
y
sin
α
=
p
to touch the curve
(
x
a
)
m
+
(
y
b
)
m
=
1
\left(\frac{x}{a}\right)^m+\left(\frac{y}{b}\right)^m=1
(
a
x
)
m
+
(
b
y
)
m
=
1
.
Related theory
Parabola
Conic Sections
Interpreting Derivatives
Tangents and Normals
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