MCQ
જો ${y^2} = a{x^2} + b,$ તો $\frac{{{d^2}y}}{{d{x^2}}}$ ની કિંમત ....... થ।ય છે.
- ✓$\frac{{ab}}{{{y^3}}}$
- B$\frac{{ab}}{{{x^3}}}$
- C$\frac{{ab}}{{{y^2}}}$
- Dએક પણ નહિં.
$y^2 = ax^2 + b.....(1)$
$2yy_1= 2ax$
$\therefore y_1=\frac{ax}{y}....(2)$
$\therefore y_2=\frac{y - axy_1}{y^2}$
$=\frac{ay - ax \left(\frac{ax}{y}\right)}{y^2}$
$\therefore y_2 =\frac{ay^2 - a^2x^2}{y^3}$
$ =\frac{a (y^2 - ax^2)}{y^3}$
સમીકરણ $(1)$ પરથી
$b = y^2 - ax^2$
$y_2 = \frac{ab}{y^3}$
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