Paragraph: Read the following write up carefully and answer the following questions: Consider a parabola, y ^2=4 ax then y + tx = at ^3+2 at represents a normal at a point (at ^2, 2 a t ). It can also be represented as y-m x+a m^3+2 a m=0 in its slope form. Considering the above equation and assuming it passes through a point P(h, k) we can say that k-m h+a m^3+2 a m=0 a m^3+m(2 a-h)+k=0 from P(h, k) maximum 3 normal