Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
With
A
(
1
,
−
2
)
A(1,-2)
A
(
1
,
−
2
)
and
B
(
4
,
3
)
B(4,3)
B
(
4
,
3
)
fixed: (i) Find the equation(s) of the locus of a point
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
for which the area of
△
A
B
P
\triangle ABP
△
A
B
P
is
10
square units
10\,\text{square units}
10
square units
. (ii) Hence show that each line obtained in part (i) is parallel to the line
A
B
AB
A
B
.
Browse the problem library