Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A curve is represented by the equations
x
=
sec
2
t
x = \sec^2 t
x
=
sec
2
t
and
y
=
cot
t
y = \cot t
y
=
cot
t
, where
t
t
t
is a parameter. If the tangent at the point
P
P
P
on the curve where
t
=
π
/
4
t = \pi/4
t
=
π
/4
meets the curve again at the point
Q
Q
Q
, then
∣
P
Q
∣
|PQ|
∣
P
Q
∣
is equal to (a)
5
3
2
\frac{5\sqrt{3}}{2}
2
5
3
(b)
5
5
2
\frac{5\sqrt{5}}{2}
2
5
5
(c)
2
5
3
\frac{2\sqrt{5}}{3}
3
2
5
(d)
3
5
2
\frac{3\sqrt{5}}{2}
2
3
5
Browse the problem library