Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The normal to the curve
y
(
x
−
2
)
(
x
−
3
)
=
x
+
6
y(x - 2)(x - 3) = x + 6
y
(
x
−
2
)
(
x
−
3
)
=
x
+
6
at the point where the curve intersects the y-axis passes through the point: [Main 2017] (a)
(
1
2
,
1
3
)
\left(\frac{1}{2}, \frac{1}{3}\right)
(
2
1
,
3
1
)
(b)
(
−
1
2
,
−
1
2
)
\left(-\frac{1}{2}, -\frac{1}{2}\right)
(
−
2
1
,
−
2
1
)
(c)
(
1
2
,
1
2
)
\left(\frac{1}{2}, \frac{1}{2}\right)
(
2
1
,
2
1
)
(d)
(
1
2
,
−
1
3
)
\left(\frac{1}{2}, -\frac{1}{3}\right)
(
2
1
,
−
3
1
)
Browse the problem library