Question
Form the differential equation of:all circles which pass through the origin and whose centres lie on X-axis.
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If $f ( x )= a + bx +c x^2$, show that $\int_0^1 f(x) d x=\frac{1}{6}\left[f(0)+4 f\left(\frac{1}{2}\right)+f(1)\right]$
$5 x^2+2 x y-3 y^2=0$