jee-advanced 2007 Q49

jee-advanced · India · paper2 Differential equations Solving Separable DEs with Initial Conditions

49. The differential equation $\frac { d y } { d x } = \frac { \sqrt { 1 - y ^ { 2 } } } { y }$ 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 O O O O
(A)
(B)
(C)
(D)

The number of solutions of the pair of equations

49. The differential equation $\frac { d y } { d x } = \frac { \sqrt { 1 - y ^ { 2 } } } { y }$ 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\\
O\\
O\\
O\\
O\\
(A)\\
(B)\\
(C)\\
(D)\\

Paper Questions

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