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 :-
Straight line
Circle
Parabola
Ellipse
In the given figure, each box represents a function machine. A function machine illustrates what it does with the input.Which of the following statements is correct?
A particle moves along the straight line $y=3 x+5$. Which coordinate changes at a faster rate?
The slope of the tangent to the curve $y = ln\, (cos\,x)$ a $x = \frac{3\pi}{4}$ is