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find the equations of common tangent to the parabola y 2= 4x and x 2 =4y.

find the equations of common tangent to the parabola y2=4x and x2=4y.

Grade:10

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
6 years ago
Hi,

Tangent to first parabola is y=mx+1/m
If this is also the tangent to second parabola than put this equation in second parabola.
Form a quadratic in x and put its d=0 as tangent and curve has only one common solution that is the point of tangency.

Get the values of m. Put all thoes values of m in the tangent, you will get the common tangents.

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