Find the angle between the parabolas y^{2} = 4ax & x^{2}= 4by at their point of intersection other than the origin ?

The given curves are *y*^{2} = 4*ax* .......(1)

and *x*^{2} = 4*by* .......(2)

**Finding point of intersection of two curves:**

Now, *x* = 0 ⇒ *y* = 0

∴ Points of intersection of (1) and (2) are (0, 0) and

On differentiating (1) and (2), we get

**Angles between (1) and (2) at **

Let θ be the acute angle between (1) and (2) at, then

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