MHT CET 2026 Mathematics question

MathematicsDifferential EquationMHT CET 2026

The tangent to the curve intersects the Y-axis at point P. A line drawn through point P is perpendicular to this tangent and passes through another point (1, 0). The differential equation of the curve is…

Answer: (A)

Solution

Let the tangent at have slope . Its equation is ; at , , so . The line through P perpendicular to the tangent also passes through , so its slope is . Perpendicularity:

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Question ID VK-100200