Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
If and are the lengths of the perpendiculars from the origin to tangent and normal to…
MATHEMATICS · Single correct · ISC · Mathematics · Calculus · Calculus
Problem
If
p
p
p
and
q
q
q
are the lengths of the perpendiculars from the origin to tangent and normal to the curve
x
=
a
e
θ
(
sin
θ
−
cos
θ
)
x = ae^{\theta}(\sin\theta - \cos\theta)
x
=
a
e
θ
(
sin
θ
−
cos
θ
)
,
y
=
a
e
θ
(
sin
θ
+
cos
θ
)
y = ae^{\theta}(\sin\theta + \cos\theta)
y
=
a
e
θ
(
sin
θ
+
cos
θ
)
then (a)
p
=
2
q
p = 2q
p
=
2
q
(b)
p
=
q
p = q
p
=
q
(c)
2
p
=
q
2p = q
2
p
=
q
(d)
p
+
q
=
a
p + q = a
p
+
q
=
a
Related theory
Straight Lines
Theorems
Tangents and Normals
Browse the problem library