$AB,\ AC$ are tangents to a parabola $y^{2} = 4ax;p_{1},p_{2},p_{3}$ are the lengths of the perpendiculars from $A,\ B,\ C$ on any tangent to the curve, then $p_{2},p_{1},p_{3}$ are in

Question

Dr. Abubacker · Accepted Answer

(b)
Let third tangent is tangent at vertices, then
$p_{1} = \left| at_{1}t_{2} \right|,\ P_{2} = at_{1}^{2},\ P_{3} = at_{2}^{2}$ clearly $p_{2},\ p_{1},\ p_{3}$ are in GP
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Q. $AB,\ AC$ are tangents to a parabola $y^{2} = 4ax;p_{1},p_{2},p_{3}$ are the lengths of the perpendiculars from $A,\ B,\ C$ on any tangent to the curve, then $p_{2},p_{1},p_{3}$ are in

Explanation

Reviewed by Dr. Abubacker

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