lf the chord joining the points where $x= p,\ x =q$ on the curve $y=ax^{2}+bx+c$ is ;parallel to the tangent drawn to the curve at $(\alpha, \beta)$ then $\alpha=$

$f(x)=\sin x$ 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 angle at which the curve $y={ x }^{ 2 }$ and the curve $x=\cfrac { 5 }{ 3 } \cos { t } ,y=\cfrac { 5 }{ 4 } \sin { t }$ intersect 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