Magnitude of slope of the shown graph.
The coordinates of a particle moving in $XY$-plane vary with time as $x=4 t ^2 ; y=2 t$. The locus of the particle is a :-
The sum of the series $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{64}+\ldots \ldots . \infty$ is
The equation of a curve is given as $y=x^2+2-3 x$. The curve intersects the $x$-axis at