Solve this:
Q103. If a tangent to the parabola y2 = 4ax meet the X-axis in T and tangent at the vertex A in P and the rectangle TAPQ completed. The locus of Q is
a) y2 + ax = 0 b) y2 – ax = 0
c) x2 + ay = 0 d) x2 – ay = 0
Tha ans should be A.
Mind my handwriting. Tangent to a standard parabola is y=mx+(a/m)
Let Q be (h, k)....write T and P in terms of h and k with the help of the diagram. Plug in those coordinates in the equation of tangent. Eliminate m from the two eauations that u get...done!