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The orthogonal trajectories of the given family of curves y = cx2 are given by
  • a)
    x2 + cy2 = constant
  • b)
    x2 + ky2 = constant
  • c)
    kx2 + y2 = constant 
  • d)
    x2 - ky2 = constant
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The orthogonal trajectories of the given family of curves y = cx2are g...
Then given family of curves is
y = cxk  ....(i)
.v —
Let us first find the differential equation satisfied by the family (i). For this we differentiate (i) w.r. t. 

∴ The differential equation of the orthogonal trajectories will be obtained on replacing 
⇒ Orthogonal trajectories are given by

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Most Upvoted Answer
The orthogonal trajectories of the given family of curves y = cx2are g...
Then given family of curves is
y = cxk  ....(i)
.v —
Let us first find the differential equation satisfied by the family (i). For this we differentiate (i) w.r. t. 

∴ The differential equation of the orthogonal trajectories will be obtained on replacing 
⇒ Orthogonal trajectories are given by

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The orthogonal trajectories of the given family of curves y = cx2are given bya)x2+ cy2 = constantb)x2 + ky2= constantc)kx2 + y2=constantd)x2 - ky2 = constantCorrect answer is option 'B'. Can you explain this answer?
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