Question bank/JEE Main/Mathematics
JEE MainMathematicsModerateParabola
A tangent and a normal are drawn at the point
[IMAGE] of the parabola [IMAGE] which cut
the axis of the parabola at the point A and B respectively. If the
center of the circle through P, A and B is C then acute angle between PC
and axis of x is
Show answer and solution
[IMAGE] the point (16,16) corresponds to
[IMAGE] for [IMAGE] is tangent and [IMAGE] is normal
Putting [IMAGE] we get [IMAGE] The circle through [IMAGE] will be on
[IMAGE] as diameter as [IMAGE] Hence
center [IMAGE] is mid-point of [IMAGE] is (4, 0)
[IMAGE] for [IMAGE] is tangent and [IMAGE] is normal
Putting [IMAGE] we get [IMAGE] The circle through [IMAGE] will be on
[IMAGE] as diameter as [IMAGE] Hence
center [IMAGE] is mid-point of [IMAGE] is (4, 0)
Source: Grass-G / M-14 Mathematics Paper 7 Nov.docx
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