MCQ
What is the sum of $13 + 23 + 33 + ........ + n^3$?
- A$\Big(\frac{\text{n}(\text{n-1)}}{3}\Big)^2$
- ✓$\Big(\frac{\text{n}(\text{n+1)}}{2}\Big)^2$
- C$\Big(\frac{\text{n}(\text{n+1)}}{3}\Big)^2$
- D$\Big(\frac{\text{n}(\text{n-1)}}{2}\Big)^2$
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Statement $-1$:An equation of a common tangent to these curve is $y = x + \sqrt 5 $
Statement $-2$: If the line, $y = mx + \frac{{\sqrt 5 }}{m}\left( {m \ne 0} \right)$ is their common tangent , then $m$ satisfies ${m^4} - 3{m^2} + 2 = 0$.