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Q.

Solution to $9 y y' + 4 x = 0$ represent

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a

family of ellipse

b

family of circles

c

family of straight lines

d

family of hyperbolas

answer is B.

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Detailed Solution

$9 y d y = - 4 x d x \Rightarrow \frac{9}{2} y^{2} = - 2 x^{2} + const$

$\Rightarrow \frac{x^{2}}{9} + \frac{y^{2}}{4} = Const$ , so represents a family of ellipses

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