MCQ
$2{C_0} + \frac{{{2^2}}}{2}{C_1} + \frac{{{2^3}}}{3}{C_2} + .... + \frac{{{2^{11}}}}{{11}}{C_{10}}$= . .
- ✓$\frac{{{3^{11}} - 1}}{{11}}$
- B$\frac{{{2^{11}} - 1}}{{11}}$
- C$\frac{{{{11}^3} - 1}}{{11}}$
- D$\frac{{{{11}^2} - 1}}{{11}}$
Integrating both sides from $0$ to $2$, we get
$\frac{{{3^{11}} - 1}}{{11}} = 2{C_0} + \frac{{{2^2}}}{2}{C_1} + \frac{{{2^3}}}{3}{C_2} + .... + \frac{{{2^{11}}}}{{11}}{C_{10}}$.
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$\frac{{{x^2}}}{{144}}\,\, - \,\,\frac{{{y^2}}}{{81}}\,\, = \,\,\frac{1}{{25}}$ ની નાભીઓ સમાન હોય તો ${b^2}$ નું મૂલ્ય: