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JEE Main Math Class 11 Coordinate Geometry Part 1 Questions
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© examsnet.com
Question : 54
Total: 100
The chord
P
Q
of the parabola
y
2
=
x
,
where one end
P
of the chord is at point (4,-2) , is perpendicular to the axis of the parabola. Then the slope of the normal at
Q
is
[Online May 26, 2012]
-4
−
1
4
4
1
4
Validate
Solution:
Point
P
is (4,-2) and
P
Q
⟂
x
-axis So,
Q
=
(
4
,
2
)
Equation of tangent at (4,2) is
y
y
1
=
1
2
(
x
+
x
1
)
⇒
2
y
=
1
2
(
x
+
2
)
⇒
4
y
=
x
+
2
⇒
y
=
x
4
+
1
2
So, slope of tangent
=
1
4
∴
Slope of normal
=
−
4
© examsnet.com
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