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+1 vote
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in Mathematics by (6.0k points)

Find the angle of intersection of the curves y2 = 4ax and x2 = 4by.

1 Answer

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Best answer

Given, equations of curves are

y2 = 4ax    .....(i)

and  x2 = 4by    .....(ii)

Clearly, the angle of intersection of curves (i) and (ii) is the angle between the tangents to the curves at the point of intersection.

So, let us first find the intersection point of given curves. 

On substituting the value of y from Eq. (ii) in Eq. (i), we get

Angle of intersection at (0, 0)

or Tangent to the curve (i) is parallel to Y-axis and tangent to the curve (ii) is parallel to X-axis.

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