Math Chapter Wise question with answer

Q01 The orthogonal trajectory of the family of the parabolas 2 x 4 y, being the parameter, is– English · UP PCS (Pre) 2004 Q02 The orthogonal trajectory of the curve xy=a2 is: English · UP PCS (Pre) 2006 Q03 The orthogonal trajectories on the sphere x2 + y2 + z2 + 1 upon its intersection with the family of planes z = k, –... English · JSSC PGT 2018 Q04 The orthogonal trajectories to the family of straight lines y = k (x – 1), k ∈ R, are given by– English · UP PGT 2021 Q05 The differential equation of the family of curves which are orthogonal to y = x+ce–x is: English · UP PCS (Pre) 2006 Q06 Differential equation of the orthogonal trajectories of the family of parabolas y = ax2 is English · UP PCS (Pre) 2008