Math Chapter Wise question with answer

Q01 The orthogonal trajectory of the family of straight lines y = mx, where m is a parameter, is: English · UP PCS (Pre) 2005 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