Study Guide TMH JEE Mathematics Ch. 27 DIFFERENTIAL EQUATIONS

JEE syllabus

Formation of ordinary differential equations, solution of homogeneous differential equations, variables separable method, linear first order differential equations.
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JEE question

The differential equation dy/dx = [SQRT(1-y^2)]/y
determines a family of circles with

(A) variable radii and a fixed centre at (0, 1)
(B) variable radii and a fixed centre at (0, –1)
(C) fixed radius 1 and variable centres along the x-axis
(D) fixed radius 1 and variable centres along the y-axis

answer C
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