$f(x)=\sin x$ একটি ত্রিকোণমিতিক ফাংশন এবং $M=x-2$ একটি বীজগাণিতিক রাশি।

If the tangent at any point ;$P(4m^{2}, 8m^{3})$ of $x^{3}-y^{3}=0$ is also a normal to the curve & ; $x^{3}-y^{3}=0$ , then value of m is-

The curve for which the ratio of the length of the segment by any tangent on the $Y-$axis to the length of the radius vector is constant $(K)$, is

If the line joining the points $(0, 3)$ and $(5, -2)$ is the tangent to the curve ;$\displaystyle y=\frac{c}{x+1}$ then the value of $c$ is