MHT CET 2026 Mathematics question
The differential equation of all lines where the length of the normal from the origin is p and the inclination of the normal is is... (where p and a are arbitrary constants)
Answer: (A)
Solution
A line whose normal from the origin has length and inclination is, in normal form, . Since and are both arbitrary constants, this is a two-parameter family: all straight lines not passing through the origin, so the differential equation is of second order.
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