🎴 Flashcard Mode
Normals to Hyperbola - Class XII
Card1 / 34
Mastered0
Review0
QuestionClick to flip
The equation of the curve which is such that the protion of the axis of x cut off between the origin and tangent at any point is proportional to the ordinate of that point is _______________.
AnswerClick to flip back
A
$x = y ( b - a \log y )$
💡 Explanation:
The problem describes a differential equation where the x-intercept of the tangent is proportional to the ordinate y. Solving this leads to the curve x = y(b - a log y).