Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
If and are the lengths of the perpendiculars from the origin on the tangent and the…
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 on the tangent and the normal to the curve
x
2
/
3
+
y
2
/
3
=
a
2
/
3
x^{2/3} + y^{2/3} = a^{2/3}
x
2/3
+
y
2/3
=
a
2/3
then
4
p
2
+
q
2
=
4p^2 + q^2 =
4
p
2
+
q
2
=
(a)
a
2
a^2
a
2
(b)
a
3
a^3
a
3
(c) 1 (d)
a
4
a^4
a
4
Related theory
Straight Lines
Advanced Differentiation
Tangents and normals
Browse the problem library