1)

The normal at the point (at21,2at1)   on the parabola meets the parabola again in the point  

(at22,2at2) , then 


A) t2=t1+2t1

B) t2=t12t1

C) t2=t12t1

D) t2=t1+2t1

Answer:

Option B

Explanation:

 Equation of the normal at point  (at21,2at1) on parabola is

 y=t1x+2at1+at31

 It also passes through (at22,2at2)

 So,  2at2=t1(at22)+2at1+at31

 2t22t1=t1(t22t21)

t1+t2=2t1

t2=t12t1