The normal at a point P of a parabola y 2 = 4 a x meets its axis in G and tangent at its vertex in H. If A is the vertex of the parabola and if the rectangle AGQH is completed, then equation to the lo

Question

The normal at a point P of a parabola y 2 = 4 a x meets its axis in G and tangent at its vertex in H. If A is the vertex of the parabola and if the rectangle AGQH is completed, then equation to the locus of vertex Q is

TestHub · Accepted Answer

A = ( a , 0 ) , H = ( 0 , 2 a t + a t 3 ) , G = ( 2 a t + a t 2 , 0 ) , Q = ( h , k ) ( h , k ) = ( 2 a + a t 2 , 2 a t + a t 3 ) eliminating 't', x 3 = 2 a x 2 + a y 2

Mathematics - Parabola Question with Solution | TestHub

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