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JEE Main Math Class 11 Coordinate Geometry Part 1 Questions
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Question : 73
Total: 100
The equation of a tangent to the parabola
y
2
=
8
x
is
y
=
x
+
2
. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is
[2007]
(2,4)
(-2,0)
(-1,1)
(0,2)
Validate
Solution:
Given that parabola
y
2
=
8
x
We know that the locus of point of intersection of two perpendicular tangents to a parabola is its directrix. Point must be on the directrix of parabola
∵
Equation of directrix
x
+
2
=
0
⇒
x
=
−
2
Hence the point is (-2,0)
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