According to Boyles' law, PV = constant. If a graph is plotted with the pressure P against the volumeV, the graph would be a

a.straight line
b.parabola
c.hyperbola
d.ellipse

And your thinking is?

P=k/V

Is b option

According to Boyle's law, the relationship between pressure (P) and volume (V) is given by the equation PV = constant.

To determine the shape of the graph when plotted with P against V, we need to examine the equation.

In its current form (PV = constant), it is equivalent to V = constant/P.

If we rewrite the equation as V = k/P (where k is the constant), we can see that it is a hyperbolic function.

A hyperbola is a curve that resembles two opposing branches that intersect at a central point. In this case, the graph of V = k/P will have a hyperbolic shape.

Therefore, the correct answer is (c) hyperbola.